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Finding the Fourth Proportional to 542,028.60, 809,008.68 and 469,658.16

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Solution

The fourth proportional to 542,028.60, 809,008.68 and 469,658.16 is: 700,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,028.60 : 809,008.68 = 469,658.16 : x
  2. Step 2: Convert to fraction form
    542,028.60/809,008.68 = 469,658.16/x
  3. Step 3: Cross multiply
    542,028.60x = 809,008.68 × 469,658.16
  4. Step 4: Simplify right side
    542,028.60x = 379,957,528,072.83
  5. Step 5: Solve for x
    x = 379,957,528,072.83/542,028.60
  6. Step 6: Final answer
    x = 700,991.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.