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Finding the Fourth Proportional to 291,891.28, 402,809.88 and 157,755.28

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Solution

The fourth proportional to 291,891.28, 402,809.88 and 157,755.28 is: 217,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,891.28 : 402,809.88 = 157,755.28 : x
  2. Step 2: Convert to fraction form
    291,891.28/402,809.88 = 157,755.28/x
  3. Step 3: Cross multiply
    291,891.28x = 402,809.88 × 157,755.28
  4. Step 4: Simplify right side
    291,891.28x = 63,545,385,406.17
  5. Step 5: Solve for x
    x = 63,545,385,406.17/291,891.28
  6. Step 6: Final answer
    x = 217,702.24

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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.