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Finding the Fourth Proportional to 519,013.04, 716,288.10 and 315,016.97

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Solution

The fourth proportional to 519,013.04, 716,288.10 and 315,016.97 is: 434,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,013.04 : 716,288.10 = 315,016.97 : x
  2. Step 2: Convert to fraction form
    519,013.04/716,288.10 = 315,016.97/x
  3. Step 3: Cross multiply
    519,013.04x = 716,288.10 × 315,016.97
  4. Step 4: Simplify right side
    519,013.04x = 225,642,906,909.06
  5. Step 5: Solve for x
    x = 225,642,906,909.06/519,013.04
  6. Step 6: Final answer
    x = 434,753.83

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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.