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Finding the Fourth Proportional to 516,364.08, 712,581 and 286,920.42

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Solution

The fourth proportional to 516,364.08, 712,581 and 286,920.42 is: 395,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,364.08 : 712,581 = 286,920.42 : x
  2. Step 2: Convert to fraction form
    516,364.08/712,581 = 286,920.42/x
  3. Step 3: Cross multiply
    516,364.08x = 712,581 × 286,920.42
  4. Step 4: Simplify right side
    516,364.08x = 204,454,039,804.02
  5. Step 5: Solve for x
    x = 204,454,039,804.02/516,364.08
  6. Step 6: Final answer
    x = 395,949.38

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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.