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Finding the Fourth Proportional to 291,912, 402,839.04 and 157,776

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Solution

The fourth proportional to 291,912, 402,839.04 and 157,776 is: 217,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,912 : 402,839.04 = 157,776 : x
  2. Step 2: Convert to fraction form
    291,912/402,839.04 = 157,776/x
  3. Step 3: Cross multiply
    291,912x = 402,839.04 × 157,776
  4. Step 4: Simplify right side
    291,912x = 63,558,332,375.04
  5. Step 5: Solve for x
    x = 63,558,332,375.04/291,912
  6. Step 6: Final answer
    x = 217,731.14

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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.