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Finding the Fourth Proportional to 288,844.58, 433,275.75 and 78,486.98

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Solution

The fourth proportional to 288,844.58, 433,275.75 and 78,486.98 is: 117,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,844.58 : 433,275.75 = 78,486.98 : x
  2. Step 2: Convert to fraction form
    288,844.58/433,275.75 = 78,486.98/x
  3. Step 3: Cross multiply
    288,844.58x = 433,275.75 × 78,486.98
  4. Step 4: Simplify right side
    288,844.58x = 34,006,505,124.74
  5. Step 5: Solve for x
    x = 34,006,505,124.74/288,844.58
  6. Step 6: Final answer
    x = 117,732.88

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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.