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Finding the Fourth Proportional to 395,442.40, 591,781.20 and 362,264.80

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Solution

The fourth proportional to 395,442.40, 591,781.20 and 362,264.80 is: 542,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,442.40 : 591,781.20 = 362,264.80 : x
  2. Step 2: Convert to fraction form
    395,442.40/591,781.20 = 362,264.80/x
  3. Step 3: Cross multiply
    395,442.40x = 591,781.20 × 362,264.80
  4. Step 4: Simplify right side
    395,442.40x = 214,381,498,061.76
  5. Step 5: Solve for x
    x = 214,381,498,061.76/395,442.40
  6. Step 6: Final answer
    x = 542,130.78

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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.