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Finding the Fourth Proportional to 291,909.34, 402,834.68 and 157,773.34

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Solution

The fourth proportional to 291,909.34, 402,834.68 and 157,773.34 is: 217,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,909.34 : 402,834.68 = 157,773.34 : x
  2. Step 2: Convert to fraction form
    291,909.34/402,834.68 = 157,773.34/x
  3. Step 3: Cross multiply
    291,909.34x = 402,834.68 × 157,773.34
  4. Step 4: Simplify right side
    291,909.34x = 63,556,572,931.43
  5. Step 5: Solve for x
    x = 63,556,572,931.43/291,909.34
  6. Step 6: Final answer
    x = 217,727.10

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1.5x scale

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.