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Finding the Fourth Proportional to 521,131.40, 781,697.10 and 311,006.60

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Solution

The fourth proportional to 521,131.40, 781,697.10 and 311,006.60 is: 466,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,131.40 : 781,697.10 = 311,006.60 : x
  2. Step 2: Convert to fraction form
    521,131.40/781,697.10 = 311,006.60/x
  3. Step 3: Cross multiply
    521,131.40x = 781,697.10 × 311,006.60
  4. Step 4: Simplify right side
    521,131.40x = 243,112,957,300.86
  5. Step 5: Solve for x
    x = 243,112,957,300.86/521,131.40
  6. Step 6: Final answer
    x = 466,509.90

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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.