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Finding the Fourth Proportional to 384,061.60, 575,314.80 and 217,655.20

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Solution

The fourth proportional to 384,061.60, 575,314.80 and 217,655.20 is: 326,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,061.60 : 575,314.80 = 217,655.20 : x
  2. Step 2: Convert to fraction form
    384,061.60/575,314.80 = 217,655.20/x
  3. Step 3: Cross multiply
    384,061.60x = 575,314.80 × 217,655.20
  4. Step 4: Simplify right side
    384,061.60x = 125,220,257,856.96
  5. Step 5: Solve for x
    x = 125,220,257,856.96/384,061.60
  6. Step 6: Final answer
    x = 326,042.12

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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.