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Finding the Fourth Proportional to 516,422.55, 712,644.16 and 286,994.10

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Solution

The fourth proportional to 516,422.55, 712,644.16 and 286,994.10 is: 396,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,422.55 : 712,644.16 = 286,994.10 : x
  2. Step 2: Convert to fraction form
    516,422.55/712,644.16 = 286,994.10/x
  3. Step 3: Cross multiply
    516,422.55x = 712,644.16 × 286,994.10
  4. Step 4: Simplify right side
    516,422.55x = 204,524,669,319.46
  5. Step 5: Solve for x
    x = 204,524,669,319.46/516,422.55
  6. Step 6: Final answer
    x = 396,041.32

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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.