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Finding the Fourth Proportional to 408,212.02, 612,329.55 and 112,724.02

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Solution

The fourth proportional to 408,212.02, 612,329.55 and 112,724.02 is: 169,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,212.02 : 612,329.55 = 112,724.02 : x
  2. Step 2: Convert to fraction form
    408,212.02/612,329.55 = 112,724.02/x
  3. Step 3: Cross multiply
    408,212.02x = 612,329.55 × 112,724.02
  4. Step 4: Simplify right side
    408,212.02x = 69,024,248,440.79
  5. Step 5: Solve for x
    x = 69,024,248,440.79/408,212.02
  6. Step 6: Final answer
    x = 169,089.21

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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.