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Finding the Fourth Proportional to 384,959.40, 576,747.90 and 329,663.40

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Solution

The fourth proportional to 384,959.40, 576,747.90 and 329,663.40 is: 493,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,959.40 : 576,747.90 = 329,663.40 : x
  2. Step 2: Convert to fraction form
    384,959.40/576,747.90 = 329,663.40/x
  3. Step 3: Cross multiply
    384,959.40x = 576,747.90 × 329,663.40
  4. Step 4: Simplify right side
    384,959.40x = 190,132,673,656.86
  5. Step 5: Solve for x
    x = 190,132,673,656.86/384,959.40
  6. Step 6: Final answer
    x = 493,903.18

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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.