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Finding the Fourth Proportional to 321,724.50, 482,574.63 and 97,078.95

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Solution

The fourth proportional to 321,724.50, 482,574.63 and 97,078.95 is: 145,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,724.50 : 482,574.63 = 97,078.95 : x
  2. Step 2: Convert to fraction form
    321,724.50/482,574.63 = 97,078.95/x
  3. Step 3: Cross multiply
    321,724.50x = 482,574.63 × 97,078.95
  4. Step 4: Simplify right side
    321,724.50x = 46,847,838,377.04
  5. Step 5: Solve for x
    x = 46,847,838,377.04/321,724.50
  6. Step 6: Final answer
    x = 145,614.77

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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.