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Finding the Fourth Proportional to 520,300.80, 781,034.40 and 402,494.40

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Solution

The fourth proportional to 520,300.80, 781,034.40 and 402,494.40 is: 604,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,300.80 : 781,034.40 = 402,494.40 : x
  2. Step 2: Convert to fraction form
    520,300.80/781,034.40 = 402,494.40/x
  3. Step 3: Cross multiply
    520,300.80x = 781,034.40 × 402,494.40
  4. Step 4: Simplify right side
    520,300.80x = 314,361,972,207.36
  5. Step 5: Solve for x
    x = 314,361,972,207.36/520,300.80
  6. Step 6: Final answer
    x = 604,192.75

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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.