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Finding the Fourth Proportional to 520,912.20, 781,368.30 and 308,335.80

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Solution

The fourth proportional to 520,912.20, 781,368.30 and 308,335.80 is: 462,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,912.20 : 781,368.30 = 308,335.80 : x
  2. Step 2: Convert to fraction form
    520,912.20/781,368.30 = 308,335.80/x
  3. Step 3: Cross multiply
    520,912.20x = 781,368.30 × 308,335.80
  4. Step 4: Simplify right side
    520,912.20x = 240,923,819,875.14
  5. Step 5: Solve for x
    x = 240,923,819,875.14/520,912.20
  6. Step 6: Final answer
    x = 462,503.70

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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.