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Finding the Fourth Proportional to 650,103.60, 974,912.88 and 223,518.72

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Solution

The fourth proportional to 650,103.60, 974,912.88 and 223,518.72 is: 335,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,103.60 : 974,912.88 = 223,518.72 : x
  2. Step 2: Convert to fraction form
    650,103.60/974,912.88 = 223,518.72/x
  3. Step 3: Cross multiply
    650,103.60x = 974,912.88 × 223,518.72
  4. Step 4: Simplify right side
    650,103.60x = 217,911,279,049.11
  5. Step 5: Solve for x
    x = 217,911,279,049.11/650,103.60
  6. Step 6: Final answer
    x = 335,194.70

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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.