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Finding the Fourth Proportional to 285,959.52, 428,639.99 and 96,354.38

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Solution

The fourth proportional to 285,959.52, 428,639.99 and 96,354.38 is: 144,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,959.52 : 428,639.99 = 96,354.38 : x
  2. Step 2: Convert to fraction form
    285,959.52/428,639.99 = 96,354.38/x
  3. Step 3: Cross multiply
    285,959.52x = 428,639.99 × 96,354.38
  4. Step 4: Simplify right side
    285,959.52x = 41,301,341,069.48
  5. Step 5: Solve for x
    x = 41,301,341,069.48/285,959.52
  6. Step 6: Final answer
    x = 144,430.73

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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.