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Finding the Fourth Proportional to 291,780.07, 402,656.10 and 157,644.07

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Solution

The fourth proportional to 291,780.07, 402,656.10 and 157,644.07 is: 217,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,780.07 : 402,656.10 = 157,644.07 : x
  2. Step 2: Convert to fraction form
    291,780.07/402,656.10 = 157,644.07/x
  3. Step 3: Cross multiply
    291,780.07x = 402,656.10 × 157,644.07
  4. Step 4: Simplify right side
    291,780.07x = 63,476,346,414.33
  5. Step 5: Solve for x
    x = 63,476,346,414.33/291,780.07
  6. Step 6: Final answer
    x = 217,548.60

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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.