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Finding the Fourth Proportional to 520,951.80, 780,261.30 and 402,238.20

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Solution

The fourth proportional to 520,951.80, 780,261.30 and 402,238.20 is: 602,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,951.80 : 780,261.30 = 402,238.20 : x
  2. Step 2: Convert to fraction form
    520,951.80/780,261.30 = 402,238.20/x
  3. Step 3: Cross multiply
    520,951.80x = 780,261.30 × 402,238.20
  4. Step 4: Simplify right side
    520,951.80x = 313,850,900,841.66
  5. Step 5: Solve for x
    x = 313,850,900,841.66/520,951.80
  6. Step 6: Final answer
    x = 602,456.70

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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.