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Finding the Fourth Proportional to 546,989.80, 820,331.10 and 173,127.40

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Solution

The fourth proportional to 546,989.80, 820,331.10 and 173,127.40 is: 259,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,989.80 : 820,331.10 = 173,127.40 : x
  2. Step 2: Convert to fraction form
    546,989.80/820,331.10 = 173,127.40/x
  3. Step 3: Cross multiply
    546,989.80x = 820,331.10 × 173,127.40
  4. Step 4: Simplify right side
    546,989.80x = 142,021,790,482.14
  5. Step 5: Solve for x
    x = 142,021,790,482.14/546,989.80
  6. Step 6: Final answer
    x = 259,642.48

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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.