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Finding the Fourth Proportional to 267,987,930.40, 402,359,809.20 and 165,951,258.40

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Solution

The fourth proportional to 267,987,930.40, 402,359,809.20 and 165,951,258.40 is: 249,160,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,987,930.40 : 402,359,809.20 = 165,951,258.40 : x
  2. Step 2: Convert to fraction form
    267,987,930.40/402,359,809.20 = 165,951,258.40/x
  3. Step 3: Cross multiply
    267,987,930.40x = 402,359,809.20 × 165,951,258.40
  4. Step 4: Simplify right side
    267,987,930.40x = 66,772,116,666,323,896
  5. Step 5: Solve for x
    x = 66,772,116,666,323,896/267,987,930.40
  6. Step 6: Final answer
    x = 249,160,910.22

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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.