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Finding the Fourth Proportional to 435,456, 653,184.48 and 172,800

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Solution

The fourth proportional to 435,456, 653,184.48 and 172,800 is: 259,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,456 : 653,184.48 = 172,800 : x
  2. Step 2: Convert to fraction form
    435,456/653,184.48 = 172,800/x
  3. Step 3: Cross multiply
    435,456x = 653,184.48 × 172,800
  4. Step 4: Simplify right side
    435,456x = 112,870,278,144
  5. Step 5: Solve for x
    x = 112,870,278,144/435,456
  6. Step 6: Final answer
    x = 259,200.19

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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.