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Finding the Fourth Proportional to 522,066.80, 783,100.20 and 312,114.80

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Solution

The fourth proportional to 522,066.80, 783,100.20 and 312,114.80 is: 468,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,066.80 : 783,100.20 = 312,114.80 : x
  2. Step 2: Convert to fraction form
    522,066.80/783,100.20 = 312,114.80/x
  3. Step 3: Cross multiply
    522,066.80x = 783,100.20 × 312,114.80
  4. Step 4: Simplify right side
    522,066.80x = 244,417,162,302.96
  5. Step 5: Solve for x
    x = 244,417,162,302.96/522,066.80
  6. Step 6: Final answer
    x = 468,172.20

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.