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Finding the Fourth Proportional to 291,777, 402,652.32 and 157,641

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Solution

The fourth proportional to 291,777, 402,652.32 and 157,641 is: 217,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,777 : 402,652.32 = 157,641 : x
  2. Step 2: Convert to fraction form
    291,777/402,652.32 = 157,641/x
  3. Step 3: Cross multiply
    291,777x = 402,652.32 × 157,641
  4. Step 4: Simplify right side
    291,777x = 63,474,514,377.12
  5. Step 5: Solve for x
    x = 63,474,514,377.12/291,777
  6. Step 6: Final answer
    x = 217,544.61

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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.