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Finding the Fourth Proportional to 485,146.60, 726,683.10 and 402,202.60

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Solution

The fourth proportional to 485,146.60, 726,683.10 and 402,202.60 is: 602,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,146.60 : 726,683.10 = 402,202.60 : x
  2. Step 2: Convert to fraction form
    485,146.60/726,683.10 = 402,202.60/x
  3. Step 3: Cross multiply
    485,146.60x = 726,683.10 × 402,202.60
  4. Step 4: Simplify right side
    485,146.60x = 292,273,832,196.06
  5. Step 5: Solve for x
    x = 292,273,832,196.06/485,146.60
  6. Step 6: Final answer
    x = 602,444.36

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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.