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Finding the Fourth Proportional to 516,046.32, 712,120.28 and 286,618.28

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Solution

The fourth proportional to 516,046.32, 712,120.28 and 286,618.28 is: 395,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,046.32 : 712,120.28 = 286,618.28 : x
  2. Step 2: Convert to fraction form
    516,046.32/712,120.28 = 286,618.28/x
  3. Step 3: Cross multiply
    516,046.32x = 712,120.28 × 286,618.28
  4. Step 4: Simplify right side
    516,046.32x = 204,106,689,806.72
  5. Step 5: Solve for x
    x = 204,106,689,806.72/516,046.32
  6. Step 6: Final answer
    x = 395,520.10

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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.