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Finding the Fourth Proportional to 291,733, 402,591.54 and 157,597

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Solution

The fourth proportional to 291,733, 402,591.54 and 157,597 is: 217,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,733 : 402,591.54 = 157,597 : x
  2. Step 2: Convert to fraction form
    291,733/402,591.54 = 157,597/x
  3. Step 3: Cross multiply
    291,733x = 402,591.54 × 157,597
  4. Step 4: Simplify right side
    291,733x = 63,447,218,929.38
  5. Step 5: Solve for x
    x = 63,447,218,929.38/291,733
  6. Step 6: Final answer
    x = 217,483.86

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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.