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Finding the Fourth Proportional to 291,713.32, 402,564.39 and 157,577.32

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Solution

The fourth proportional to 291,713.32, 402,564.39 and 157,577.32 is: 217,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,713.32 : 402,564.39 = 157,577.32 : x
  2. Step 2: Convert to fraction form
    291,713.32/402,564.39 = 157,577.32/x
  3. Step 3: Cross multiply
    291,713.32x = 402,564.39 × 157,577.32
  4. Step 4: Simplify right side
    291,713.32x = 63,435,014,902.93
  5. Step 5: Solve for x
    x = 63,435,014,902.93/291,713.32
  6. Step 6: Final answer
    x = 217,456.70

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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.