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Finding the Fourth Proportional to 516,520.20, 712,592.87 and 298,688.59

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Solution

The fourth proportional to 516,520.20, 712,592.87 and 298,688.59 is: 412,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,520.20 : 712,592.87 = 298,688.59 : x
  2. Step 2: Convert to fraction form
    516,520.20/712,592.87 = 298,688.59/x
  3. Step 3: Cross multiply
    516,520.20x = 712,592.87 × 298,688.59
  4. Step 4: Simplify right side
    516,520.20x = 212,843,359,584.35
  5. Step 5: Solve for x
    x = 212,843,359,584.35/516,520.20
  6. Step 6: Final answer
    x = 412,071.71

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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.