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Finding the Fourth Proportional to 523,710.12, 785,909.64 and 287,218.88

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Solution

The fourth proportional to 523,710.12, 785,909.64 and 287,218.88 is: 431,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,710.12 : 785,909.64 = 287,218.88 : x
  2. Step 2: Convert to fraction form
    523,710.12/785,909.64 = 287,218.88/x
  3. Step 3: Cross multiply
    523,710.12x = 785,909.64 × 287,218.88
  4. Step 4: Simplify right side
    523,710.12x = 225,728,085,061.08
  5. Step 5: Solve for x
    x = 225,728,085,061.08/523,710.12
  6. Step 6: Final answer
    x = 431,017.23

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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.