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Finding the Fourth Proportional to 537,856.28, 806,527.08 and 313,280.78

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Solution

The fourth proportional to 537,856.28, 806,527.08 and 313,280.78 is: 469,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,856.28 : 806,527.08 = 313,280.78 : x
  2. Step 2: Convert to fraction form
    537,856.28/806,527.08 = 313,280.78/x
  3. Step 3: Cross multiply
    537,856.28x = 806,527.08 × 313,280.78
  4. Step 4: Simplify right side
    537,856.28x = 252,669,428,680.89
  5. Step 5: Solve for x
    x = 252,669,428,680.89/537,856.28
  6. Step 6: Final answer
    x = 469,771.28

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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.