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Finding the Fourth Proportional to 542,645.40, 813,508.80 and 205,500.20

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Solution

The fourth proportional to 542,645.40, 813,508.80 and 205,500.20 is: 308,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,645.40 : 813,508.80 = 205,500.20 : x
  2. Step 2: Convert to fraction form
    542,645.40/813,508.80 = 205,500.20/x
  3. Step 3: Cross multiply
    542,645.40x = 813,508.80 × 205,500.20
  4. Step 4: Simplify right side
    542,645.40x = 167,176,221,101.76
  5. Step 5: Solve for x
    x = 167,176,221,101.76/542,645.40
  6. Step 6: Final answer
    x = 308,076.36

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1.5x scale

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.