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Finding the Fourth Proportional to 291,909.40, 402,835.50 and 157,773.40

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Solution

The fourth proportional to 291,909.40, 402,835.50 and 157,773.40 is: 217,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,909.40 : 402,835.50 = 157,773.40 : x
  2. Step 2: Convert to fraction form
    291,909.40/402,835.50 = 157,773.40/x
  3. Step 3: Cross multiply
    291,909.40x = 402,835.50 × 157,773.40
  4. Step 4: Simplify right side
    291,909.40x = 63,556,726,475.70
  5. Step 5: Solve for x
    x = 63,556,726,475.70/291,909.40
  6. Step 6: Final answer
    x = 217,727.58

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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.