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Finding the Fourth Proportional to 493,695.88, 739,937.87 and 280,642.25

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Solution

The fourth proportional to 493,695.88, 739,937.87 and 280,642.25 is: 420,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,695.88 : 739,937.87 = 280,642.25 : x
  2. Step 2: Convert to fraction form
    493,695.88/739,937.87 = 280,642.25/x
  3. Step 3: Cross multiply
    493,695.88x = 739,937.87 × 280,642.25
  4. Step 4: Simplify right side
    493,695.88x = 207,657,830,196.05
  5. Step 5: Solve for x
    x = 207,657,830,196.05/493,695.88
  6. Step 6: Final answer
    x = 420,618.93

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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.