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Finding the Fourth Proportional to 291,838.88, 402,737.66 and 157,702.88

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Solution

The fourth proportional to 291,838.88, 402,737.66 and 157,702.88 is: 217,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,838.88 : 402,737.66 = 157,702.88 : x
  2. Step 2: Convert to fraction form
    291,838.88/402,737.66 = 157,702.88/x
  3. Step 3: Cross multiply
    291,838.88x = 402,737.66 × 157,702.88
  4. Step 4: Simplify right side
    291,838.88x = 63,512,886,064.26
  5. Step 5: Solve for x
    x = 63,512,886,064.26/291,838.88
  6. Step 6: Final answer
    x = 217,629.97

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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.