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Finding the Fourth Proportional to 517,540.90, 776,311.35 and 391,569.70

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Solution

The fourth proportional to 517,540.90, 776,311.35 and 391,569.70 is: 587,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,540.90 : 776,311.35 = 391,569.70 : x
  2. Step 2: Convert to fraction form
    517,540.90/776,311.35 = 391,569.70/x
  3. Step 3: Cross multiply
    517,540.90x = 776,311.35 × 391,569.70
  4. Step 4: Simplify right side
    517,540.90x = 303,980,002,426.10
  5. Step 5: Solve for x
    x = 303,980,002,426.10/517,540.90
  6. Step 6: Final answer
    x = 587,354.55

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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.