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Finding the Fourth Proportional to 397,985.80, 596,978.70 and 361,244.20

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Solution

The fourth proportional to 397,985.80, 596,978.70 and 361,244.20 is: 541,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,985.80 : 596,978.70 = 361,244.20 : x
  2. Step 2: Convert to fraction form
    397,985.80/596,978.70 = 361,244.20/x
  3. Step 3: Cross multiply
    397,985.80x = 596,978.70 × 361,244.20
  4. Step 4: Simplify right side
    397,985.80x = 215,655,092,898.54
  5. Step 5: Solve for x
    x = 215,655,092,898.54/397,985.80
  6. Step 6: Final answer
    x = 541,866.30

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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.