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Finding the Fourth Proportional to 523,726.08, 785,933.61 and 287,234.82

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Solution

The fourth proportional to 523,726.08, 785,933.61 and 287,234.82 is: 431,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,726.08 : 785,933.61 = 287,234.82 : x
  2. Step 2: Convert to fraction form
    523,726.08/785,933.61 = 287,234.82/x
  3. Step 3: Cross multiply
    523,726.08x = 785,933.61 × 287,234.82
  4. Step 4: Simplify right side
    523,726.08x = 225,747,499,000.30
  5. Step 5: Solve for x
    x = 225,747,499,000.30/523,726.08
  6. Step 6: Final answer
    x = 431,041.16

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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.