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Finding the Fourth Proportional to 614,142.80, 921,214.20 and 348,422.30

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Solution

The fourth proportional to 614,142.80, 921,214.20 and 348,422.30 is: 522,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,142.80 : 921,214.20 = 348,422.30 : x
  2. Step 2: Convert to fraction form
    614,142.80/921,214.20 = 348,422.30/x
  3. Step 3: Cross multiply
    614,142.80x = 921,214.20 × 348,422.30
  4. Step 4: Simplify right side
    614,142.80x = 320,971,570,356.66
  5. Step 5: Solve for x
    x = 320,971,570,356.66/614,142.80
  6. Step 6: Final answer
    x = 522,633.45

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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.