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Finding the Fourth Proportional to 522,810.40, 783,178.80 and 311,821.60

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Solution

The fourth proportional to 522,810.40, 783,178.80 and 311,821.60 is: 467,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,810.40 : 783,178.80 = 311,821.60 : x
  2. Step 2: Convert to fraction form
    522,810.40/783,178.80 = 311,821.60/x
  3. Step 3: Cross multiply
    522,810.40x = 783,178.80 × 311,821.60
  4. Step 4: Simplify right side
    522,810.40x = 244,212,066,502.08
  5. Step 5: Solve for x
    x = 244,212,066,502.08/522,810.40
  6. Step 6: Final answer
    x = 467,114.02

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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.