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Finding the Fourth Proportional to 758,642.78, 1,138,008 and 285,332.24

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Solution

The fourth proportional to 758,642.78, 1,138,008 and 285,332.24 is: 428,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,642.78 : 1,138,008 = 285,332.24 : x
  2. Step 2: Convert to fraction form
    758,642.78/1,138,008 = 285,332.24/x
  3. Step 3: Cross multiply
    758,642.78x = 1,138,008 × 285,332.24
  4. Step 4: Simplify right side
    758,642.78x = 324,710,366,087.88
  5. Step 5: Solve for x
    x = 324,710,366,087.88/758,642.78
  6. Step 6: Final answer
    x = 428,014.84

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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.