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Finding the Fourth Proportional to 521,596.80, 781,228.80 and 402,883.20

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Solution

The fourth proportional to 521,596.80, 781,228.80 and 402,883.20 is: 603,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,596.80 : 781,228.80 = 402,883.20 : x
  2. Step 2: Convert to fraction form
    521,596.80/781,228.80 = 402,883.20/x
  3. Step 3: Cross multiply
    521,596.80x = 781,228.80 × 402,883.20
  4. Step 4: Simplify right side
    521,596.80x = 314,743,958,876.16
  5. Step 5: Solve for x
    x = 314,743,958,876.16/521,596.80
  6. Step 6: Final answer
    x = 603,423.87

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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.