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Finding the Fourth Proportional to 587,646.38, 811,125.30 and 383,729

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Solution

The fourth proportional to 587,646.38, 811,125.30 and 383,729 is: 529,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,646.38 : 811,125.30 = 383,729 : x
  2. Step 2: Convert to fraction form
    587,646.38/811,125.30 = 383,729/x
  3. Step 3: Cross multiply
    587,646.38x = 811,125.30 × 383,729
  4. Step 4: Simplify right side
    587,646.38x = 311,252,300,243.70
  5. Step 5: Solve for x
    x = 311,252,300,243.70/587,646.38
  6. Step 6: Final answer
    x = 529,659.18

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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.