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Finding the Fourth Proportional to 284,648.40, 426,643.92 and 107,042.13

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Solution

The fourth proportional to 284,648.40, 426,643.92 and 107,042.13 is: 160,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,648.40 : 426,643.92 = 107,042.13 : x
  2. Step 2: Convert to fraction form
    284,648.40/426,643.92 = 107,042.13/x
  3. Step 3: Cross multiply
    284,648.40x = 426,643.92 × 107,042.13
  4. Step 4: Simplify right side
    284,648.40x = 45,668,873,948.35
  5. Step 5: Solve for x
    x = 45,668,873,948.35/284,648.40
  6. Step 6: Final answer
    x = 160,439.59

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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.