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Finding the Fourth Proportional to 527,527.92, 727,945.42 and 309,713.64

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Solution

The fourth proportional to 527,527.92, 727,945.42 and 309,713.64 is: 427,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,527.92 : 727,945.42 = 309,713.64 : x
  2. Step 2: Convert to fraction form
    527,527.92/727,945.42 = 309,713.64/x
  3. Step 3: Cross multiply
    527,527.92x = 727,945.42 × 309,713.64
  4. Step 4: Simplify right side
    527,527.92x = 225,454,625,749.53
  5. Step 5: Solve for x
    x = 225,454,625,749.53/527,527.92
  6. Step 6: Final answer
    x = 427,379.51

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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.