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Finding the Fourth Proportional to 206,712,016.80, 310,068,025.20 and 177,990,583.20

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Solution

The fourth proportional to 206,712,016.80, 310,068,025.20 and 177,990,583.20 is: 266,985,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,712,016.80 : 310,068,025.20 = 177,990,583.20 : x
  2. Step 2: Convert to fraction form
    206,712,016.80/310,068,025.20 = 177,990,583.20/x
  3. Step 3: Cross multiply
    206,712,016.80x = 310,068,025.20 × 177,990,583.20
  4. Step 4: Simplify right side
    206,712,016.80x = 55,189,188,637,020,288
  5. Step 5: Solve for x
    x = 55,189,188,637,020,288/206,712,016.80
  6. Step 6: Final answer
    x = 266,985,874.80

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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.