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Finding the Fourth Proportional to 206,682,543.80, 310,023,815.70 and 185,637,480.20

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Solution

The fourth proportional to 206,682,543.80, 310,023,815.70 and 185,637,480.20 is: 278,456,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682,543.80 : 310,023,815.70 = 185,637,480.20 : x
  2. Step 2: Convert to fraction form
    206,682,543.80/310,023,815.70 = 185,637,480.20/x
  3. Step 3: Cross multiply
    206,682,543.80x = 310,023,815.70 × 185,637,480.20
  4. Step 4: Simplify right side
    206,682,543.80x = 57,552,039,948,537,192
  5. Step 5: Solve for x
    x = 57,552,039,948,537,192/206,682,543.80
  6. Step 6: Final answer
    x = 278,456,220.30

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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.