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Finding the Fourth Proportional to 542,978.60, 816,023.10 and 474,549.80

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Solution

The fourth proportional to 542,978.60, 816,023.10 and 474,549.80 is: 713,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,978.60 : 816,023.10 = 474,549.80 : x
  2. Step 2: Convert to fraction form
    542,978.60/816,023.10 = 474,549.80/x
  3. Step 3: Cross multiply
    542,978.60x = 816,023.10 × 474,549.80
  4. Step 4: Simplify right side
    542,978.60x = 387,243,598,900.38
  5. Step 5: Solve for x
    x = 387,243,598,900.38/542,978.60
  6. Step 6: Final answer
    x = 713,183.91

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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.