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Finding the Fourth Proportional to 402,008.10, 554,772.24 and 220,731.78

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Solution

The fourth proportional to 402,008.10, 554,772.24 and 220,731.78 is: 304,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,008.10 : 554,772.24 = 220,731.78 : x
  2. Step 2: Convert to fraction form
    402,008.10/554,772.24 = 220,731.78/x
  3. Step 3: Cross multiply
    402,008.10x = 554,772.24 × 220,731.78
  4. Step 4: Simplify right side
    402,008.10x = 122,455,866,110.18
  5. Step 5: Solve for x
    x = 122,455,866,110.18/402,008.10
  6. Step 6: Final answer
    x = 304,610.45

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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.