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Finding the Fourth Proportional to 215,847.30, 323,770.95 and 157,095.30

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Solution

The fourth proportional to 215,847.30, 323,770.95 and 157,095.30 is: 235,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,847.30 : 323,770.95 = 157,095.30 : x
  2. Step 2: Convert to fraction form
    215,847.30/323,770.95 = 157,095.30/x
  3. Step 3: Cross multiply
    215,847.30x = 323,770.95 × 157,095.30
  4. Step 4: Simplify right side
    215,847.30x = 50,862,894,521.54
  5. Step 5: Solve for x
    x = 50,862,894,521.54/215,847.30
  6. Step 6: Final answer
    x = 235,642.95

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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.