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Finding the Fourth Proportional to 291,719, 402,572.58 and 157,583

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Solution

The fourth proportional to 291,719, 402,572.58 and 157,583 is: 217,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,719 : 402,572.58 = 157,583 : x
  2. Step 2: Convert to fraction form
    291,719/402,572.58 = 157,583/x
  3. Step 3: Cross multiply
    291,719x = 402,572.58 × 157,583
  4. Step 4: Simplify right side
    291,719x = 63,438,594,874.14
  5. Step 5: Solve for x
    x = 63,438,594,874.14/291,719
  6. Step 6: Final answer
    x = 217,464.73

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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.