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Finding the Fourth Proportional to 614,286.20, 847,701.96 and 342,378.92

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Solution

The fourth proportional to 614,286.20, 847,701.96 and 342,378.92 is: 472,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,286.20 : 847,701.96 = 342,378.92 : x
  2. Step 2: Convert to fraction form
    614,286.20/847,701.96 = 342,378.92/x
  3. Step 3: Cross multiply
    614,286.20x = 847,701.96 × 342,378.92
  4. Step 4: Simplify right side
    614,286.20x = 290,235,281,546.68
  5. Step 5: Solve for x
    x = 290,235,281,546.68/614,286.20
  6. Step 6: Final answer
    x = 472,475.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.