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Finding the Fourth Proportional to 402,113.12, 554,930.87 and 220,841.78

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Solution

The fourth proportional to 402,113.12, 554,930.87 and 220,841.78 is: 304,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,113.12 : 554,930.87 = 220,841.78 : x
  2. Step 2: Convert to fraction form
    402,113.12/554,930.87 = 220,841.78/x
  3. Step 3: Cross multiply
    402,113.12x = 554,930.87 × 220,841.78
  4. Step 4: Simplify right side
    402,113.12x = 122,551,917,228.89
  5. Step 5: Solve for x
    x = 122,551,917,228.89/402,113.12
  6. Step 6: Final answer
    x = 304,769.76

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1.5x scale

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.