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Finding the Fourth Proportional to 617,997.60, 926,121.60 and 542,764.80

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Solution

The fourth proportional to 617,997.60, 926,121.60 and 542,764.80 is: 813,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,997.60 : 926,121.60 = 542,764.80 : x
  2. Step 2: Convert to fraction form
    617,997.60/926,121.60 = 542,764.80/x
  3. Step 3: Cross multiply
    617,997.60x = 926,121.60 × 542,764.80
  4. Step 4: Simplify right side
    617,997.60x = 502,666,204,999.68
  5. Step 5: Solve for x
    x = 502,666,204,999.68/617,997.60
  6. Step 6: Final answer
    x = 813,378.89

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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.