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Finding the Fourth Proportional to 382,345.14, 573,419.30 and 157,769.40

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Solution

The fourth proportional to 382,345.14, 573,419.30 and 157,769.40 is: 236,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,345.14 : 573,419.30 = 157,769.40 : x
  2. Step 2: Convert to fraction form
    382,345.14/573,419.30 = 157,769.40/x
  3. Step 3: Cross multiply
    382,345.14x = 573,419.30 × 157,769.40
  4. Step 4: Simplify right side
    382,345.14x = 90,468,018,909.42
  5. Step 5: Solve for x
    x = 90,468,018,909.42/382,345.14
  6. Step 6: Final answer
    x = 236,613.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.