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Finding the Fourth Proportional to 516,422.80, 712,644.51 and 286,994.35

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Solution

The fourth proportional to 516,422.80, 712,644.51 and 286,994.35 is: 396,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,422.80 : 712,644.51 = 286,994.35 : x
  2. Step 2: Convert to fraction form
    516,422.80/712,644.51 = 286,994.35/x
  3. Step 3: Cross multiply
    516,422.80x = 712,644.51 × 286,994.35
  4. Step 4: Simplify right side
    516,422.80x = 204,524,947,928.52
  5. Step 5: Solve for x
    x = 204,524,947,928.52/516,422.80
  6. Step 6: Final answer
    x = 396,041.67

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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.