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Finding the Fourth Proportional to 515,827.20, 773,740.80 and 141,850.20

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Solution

The fourth proportional to 515,827.20, 773,740.80 and 141,850.20 is: 212,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,827.20 : 773,740.80 = 141,850.20 : x
  2. Step 2: Convert to fraction form
    515,827.20/773,740.80 = 141,850.20/x
  3. Step 3: Cross multiply
    515,827.20x = 773,740.80 × 141,850.20
  4. Step 4: Simplify right side
    515,827.20x = 109,755,287,228.16
  5. Step 5: Solve for x
    x = 109,755,287,228.16/515,827.20
  6. Step 6: Final answer
    x = 212,775.30

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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.