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Finding the Fourth Proportional to 465,453, 642,385.38 and 284,126.92

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Solution

The fourth proportional to 465,453, 642,385.38 and 284,126.92 is: 392,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,453 : 642,385.38 = 284,126.92 : x
  2. Step 2: Convert to fraction form
    465,453/642,385.38 = 284,126.92/x
  3. Step 3: Cross multiply
    465,453x = 642,385.38 × 284,126.92
  4. Step 4: Simplify right side
    465,453x = 182,518,979,472.43
  5. Step 5: Solve for x
    x = 182,518,979,472.43/465,453
  6. Step 6: Final answer
    x = 392,131.92

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1.5x scale

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.