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Finding the Fourth Proportional to 206,909.70, 310,364.55 and 112,431.30

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Solution

The fourth proportional to 206,909.70, 310,364.55 and 112,431.30 is: 168,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,909.70 : 310,364.55 = 112,431.30 : x
  2. Step 2: Convert to fraction form
    206,909.70/310,364.55 = 112,431.30/x
  3. Step 3: Cross multiply
    206,909.70x = 310,364.55 × 112,431.30
  4. Step 4: Simplify right side
    206,909.70x = 34,894,689,830.42
  5. Step 5: Solve for x
    x = 34,894,689,830.42/206,909.70
  6. Step 6: Final answer
    x = 168,646.95

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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.