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Finding the Fourth Proportional to 408,545.20, 612,088.80 and 197,718.40

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Solution

The fourth proportional to 408,545.20, 612,088.80 and 197,718.40 is: 296,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,545.20 : 612,088.80 = 197,718.40 : x
  2. Step 2: Convert to fraction form
    408,545.20/612,088.80 = 197,718.40/x
  3. Step 3: Cross multiply
    408,545.20x = 612,088.80 × 197,718.40
  4. Step 4: Simplify right side
    408,545.20x = 121,021,218,193.92
  5. Step 5: Solve for x
    x = 121,021,218,193.92/408,545.20
  6. Step 6: Final answer
    x = 296,224.80

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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.