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Finding the Fourth Proportional to 523,053.80, 783,530.46 and 442,747.88

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Solution

The fourth proportional to 523,053.80, 783,530.46 and 442,747.88 is: 663,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,053.80 : 783,530.46 = 442,747.88 : x
  2. Step 2: Convert to fraction form
    523,053.80/783,530.46 = 442,747.88/x
  3. Step 3: Cross multiply
    523,053.80x = 783,530.46 × 442,747.88
  4. Step 4: Simplify right side
    523,053.80x = 346,906,450,080.43
  5. Step 5: Solve for x
    x = 346,906,450,080.43/523,053.80
  6. Step 6: Final answer
    x = 663,232.83

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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.