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Finding the Fourth Proportional to 291,998, 402,957.24 and 157,862

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Solution

The fourth proportional to 291,998, 402,957.24 and 157,862 is: 217,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,998 : 402,957.24 = 157,862 : x
  2. Step 2: Convert to fraction form
    291,998/402,957.24 = 157,862/x
  3. Step 3: Cross multiply
    291,998x = 402,957.24 × 157,862
  4. Step 4: Simplify right side
    291,998x = 63,611,635,820.88
  5. Step 5: Solve for x
    x = 63,611,635,820.88/291,998
  6. Step 6: Final answer
    x = 217,849.56

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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.