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Finding the Fourth Proportional to 539,820.80, 809,731.20 and 165,862.40

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Solution

The fourth proportional to 539,820.80, 809,731.20 and 165,862.40 is: 248,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,820.80 : 809,731.20 = 165,862.40 : x
  2. Step 2: Convert to fraction form
    539,820.80/809,731.20 = 165,862.40/x
  3. Step 3: Cross multiply
    539,820.80x = 809,731.20 × 165,862.40
  4. Step 4: Simplify right side
    539,820.80x = 134,303,960,186.88
  5. Step 5: Solve for x
    x = 134,303,960,186.88/539,820.80
  6. Step 6: Final answer
    x = 248,793.60

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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.