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Finding the Fourth Proportional to 324,547.28, 486,764.76 and 87,834.68

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Solution

The fourth proportional to 324,547.28, 486,764.76 and 87,834.68 is: 131,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,547.28 : 486,764.76 = 87,834.68 : x
  2. Step 2: Convert to fraction form
    324,547.28/486,764.76 = 87,834.68/x
  3. Step 3: Cross multiply
    324,547.28x = 486,764.76 × 87,834.68
  4. Step 4: Simplify right side
    324,547.28x = 42,754,826,929.88
  5. Step 5: Solve for x
    x = 42,754,826,929.88/324,547.28
  6. Step 6: Final answer
    x = 131,736.82

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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.