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Finding the Fourth Proportional to 291,688, 402,529.68 and 157,552

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Solution

The fourth proportional to 291,688, 402,529.68 and 157,552 is: 217,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,688 : 402,529.68 = 157,552 : x
  2. Step 2: Convert to fraction form
    291,688/402,529.68 = 157,552/x
  3. Step 3: Cross multiply
    291,688x = 402,529.68 × 157,552
  4. Step 4: Simplify right side
    291,688x = 63,419,356,143.36
  5. Step 5: Solve for x
    x = 63,419,356,143.36/291,688
  6. Step 6: Final answer
    x = 217,421.89

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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.