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Finding the Fourth Proportional to 291,680, 402,518.68 and 157,544

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Solution

The fourth proportional to 291,680, 402,518.68 and 157,544 is: 217,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,680 : 402,518.68 = 157,544 : x
  2. Step 2: Convert to fraction form
    291,680/402,518.68 = 157,544/x
  3. Step 3: Cross multiply
    291,680x = 402,518.68 × 157,544
  4. Step 4: Simplify right side
    291,680x = 63,414,402,921.92
  5. Step 5: Solve for x
    x = 63,414,402,921.92/291,680
  6. Step 6: Final answer
    x = 217,410.87

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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.