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Finding the Fourth Proportional to 321,776.46, 482,727.60 and 97,155.18

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Solution

The fourth proportional to 321,776.46, 482,727.60 and 97,155.18 is: 145,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,776.46 : 482,727.60 = 97,155.18 : x
  2. Step 2: Convert to fraction form
    321,776.46/482,727.60 = 97,155.18/x
  3. Step 3: Cross multiply
    321,776.46x = 482,727.60 × 97,155.18
  4. Step 4: Simplify right side
    321,776.46x = 46,899,486,868.97
  5. Step 5: Solve for x
    x = 46,899,486,868.97/321,776.46
  6. Step 6: Final answer
    x = 145,751.76

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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.