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Finding the Fourth Proportional to 291,993, 402,951.30 and 157,857.96

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Solution

The fourth proportional to 291,993, 402,951.30 and 157,857.96 is: 217,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,993 : 402,951.30 = 157,857.96 : x
  2. Step 2: Convert to fraction form
    291,993/402,951.30 = 157,857.96/x
  3. Step 3: Cross multiply
    291,993x = 402,951.30 × 157,857.96
  4. Step 4: Simplify right side
    291,993x = 63,609,070,197.35
  5. Step 5: Solve for x
    x = 63,609,070,197.35/291,993
  6. Step 6: Final answer
    x = 217,844.50

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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.