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Finding the Fourth Proportional to 291,903.90, 402,827.18 and 157,767.90

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Solution

The fourth proportional to 291,903.90, 402,827.18 and 157,767.90 is: 217,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,903.90 : 402,827.18 = 157,767.90 : x
  2. Step 2: Convert to fraction form
    291,903.90/402,827.18 = 157,767.90/x
  3. Step 3: Cross multiply
    291,903.90x = 402,827.18 × 157,767.90
  4. Step 4: Simplify right side
    291,903.90x = 63,553,198,251.52
  5. Step 5: Solve for x
    x = 63,553,198,251.52/291,903.90
  6. Step 6: Final answer
    x = 217,719.59

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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.