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Finding the Fourth Proportional to 484,734.40, 727,111.68 and 129,748

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Solution

The fourth proportional to 484,734.40, 727,111.68 and 129,748 is: 194,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,734.40 : 727,111.68 = 129,748 : x
  2. Step 2: Convert to fraction form
    484,734.40/727,111.68 = 129,748/x
  3. Step 3: Cross multiply
    484,734.40x = 727,111.68 × 129,748
  4. Step 4: Simplify right side
    484,734.40x = 94,341,286,256.64
  5. Step 5: Solve for x
    x = 94,341,286,256.64/484,734.40
  6. Step 6: Final answer
    x = 194,624.70

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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.