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Finding the Fourth Proportional to 516,471.12, 712,686.60 and 315,228.24

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Solution

The fourth proportional to 516,471.12, 712,686.60 and 315,228.24 is: 434,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,471.12 : 712,686.60 = 315,228.24 : x
  2. Step 2: Convert to fraction form
    516,471.12/712,686.60 = 315,228.24/x
  3. Step 3: Cross multiply
    516,471.12x = 712,686.60 × 315,228.24
  4. Step 4: Simplify right side
    516,471.12x = 224,658,942,589.58
  5. Step 5: Solve for x
    x = 224,658,942,589.58/516,471.12
  6. Step 6: Final answer
    x = 434,988.39

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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.