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Finding the Fourth Proportional to 541,212.80, 811,870.40 and 147,228.80

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Solution

The fourth proportional to 541,212.80, 811,870.40 and 147,228.80 is: 220,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,212.80 : 811,870.40 = 147,228.80 : x
  2. Step 2: Convert to fraction form
    541,212.80/811,870.40 = 147,228.80/x
  3. Step 3: Cross multiply
    541,212.80x = 811,870.40 × 147,228.80
  4. Step 4: Simplify right side
    541,212.80x = 119,530,704,747.52
  5. Step 5: Solve for x
    x = 119,530,704,747.52/541,212.80
  6. Step 6: Final answer
    x = 220,857.13

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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.