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Finding the Fourth Proportional to 288,776.61, 433,131.77 and 75,565.10

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Solution

The fourth proportional to 288,776.61, 433,131.77 and 75,565.10 is: 113,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,776.61 : 433,131.77 = 75,565.10 : x
  2. Step 2: Convert to fraction form
    288,776.61/433,131.77 = 75,565.10/x
  3. Step 3: Cross multiply
    288,776.61x = 433,131.77 × 75,565.10
  4. Step 4: Simplify right side
    288,776.61x = 32,729,646,784.97
  5. Step 5: Solve for x
    x = 32,729,646,784.97/288,776.61
  6. Step 6: Final answer
    x = 113,338.98

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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.