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Finding the Fourth Proportional to 522,326.30, 783,711.08 and 285,392.18

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Solution

The fourth proportional to 522,326.30, 783,711.08 and 285,392.18 is: 428,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,326.30 : 783,711.08 = 285,392.18 : x
  2. Step 2: Convert to fraction form
    522,326.30/783,711.08 = 285,392.18/x
  3. Step 3: Cross multiply
    522,326.30x = 783,711.08 × 285,392.18
  4. Step 4: Simplify right side
    522,326.30x = 223,665,008,265.84
  5. Step 5: Solve for x
    x = 223,665,008,265.84/522,326.30
  6. Step 6: Final answer
    x = 428,209.36

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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.