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Finding the Fourth Proportional to 431,201.70, 646,802.55 and 424,203.30

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Solution

The fourth proportional to 431,201.70, 646,802.55 and 424,203.30 is: 636,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,201.70 : 646,802.55 = 424,203.30 : x
  2. Step 2: Convert to fraction form
    431,201.70/646,802.55 = 424,203.30/x
  3. Step 3: Cross multiply
    431,201.70x = 646,802.55 × 424,203.30
  4. Step 4: Simplify right side
    431,201.70x = 274,375,776,158.42
  5. Step 5: Solve for x
    x = 274,375,776,158.42/431,201.70
  6. Step 6: Final answer
    x = 636,304.95

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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.