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Finding the Fourth Proportional to 288,320.12, 432,479.12 and 77,958

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Solution

The fourth proportional to 288,320.12, 432,479.12 and 77,958 is: 116,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,320.12 : 432,479.12 = 77,958 : x
  2. Step 2: Convert to fraction form
    288,320.12/432,479.12 = 77,958/x
  3. Step 3: Cross multiply
    288,320.12x = 432,479.12 × 77,958
  4. Step 4: Simplify right side
    288,320.12x = 33,715,207,236.96
  5. Step 5: Solve for x
    x = 33,715,207,236.96/288,320.12
  6. Step 6: Final answer
    x = 116,936.71

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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.