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Finding the Fourth Proportional to 517,498.38, 776,203.08 and 315,041.91

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Solution

The fourth proportional to 517,498.38, 776,203.08 and 315,041.91 is: 472,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,498.38 : 776,203.08 = 315,041.91 : x
  2. Step 2: Convert to fraction form
    517,498.38/776,203.08 = 315,041.91/x
  3. Step 3: Cross multiply
    517,498.38x = 776,203.08 × 315,041.91
  4. Step 4: Simplify right side
    517,498.38x = 244,536,500,871.08
  5. Step 5: Solve for x
    x = 244,536,500,871.08/517,498.38
  6. Step 6: Final answer
    x = 472,535.78

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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.