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Finding the Fourth Proportional to 566,132.90, 781,275.31 and 311,484.56

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Solution

The fourth proportional to 566,132.90, 781,275.31 and 311,484.56 is: 429,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,132.90 : 781,275.31 = 311,484.56 : x
  2. Step 2: Convert to fraction form
    566,132.90/781,275.31 = 311,484.56/x
  3. Step 3: Cross multiply
    566,132.90x = 781,275.31 × 311,484.56
  4. Step 4: Simplify right side
    566,132.90x = 243,355,191,489.13
  5. Step 5: Solve for x
    x = 243,355,191,489.13/566,132.90
  6. Step 6: Final answer
    x = 429,855.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.