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Finding the Fourth Proportional to 546,754.68, 820,126.98 and 172,777.68

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Solution

The fourth proportional to 546,754.68, 820,126.98 and 172,777.68 is: 259,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,754.68 : 820,126.98 = 172,777.68 : x
  2. Step 2: Convert to fraction form
    546,754.68/820,126.98 = 172,777.68/x
  3. Step 3: Cross multiply
    546,754.68x = 820,126.98 × 172,777.68
  4. Step 4: Simplify right side
    546,754.68x = 141,699,636,909.81
  5. Step 5: Solve for x
    x = 141,699,636,909.81/546,754.68
  6. Step 6: Final answer
    x = 259,164.93

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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.