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Finding the Fourth Proportional to 516,022.31, 712,120.32 and 286,600.84

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Solution

The fourth proportional to 516,022.31, 712,120.32 and 286,600.84 is: 395,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,022.31 : 712,120.32 = 286,600.84 : x
  2. Step 2: Convert to fraction form
    516,022.31/712,120.32 = 286,600.84/x
  3. Step 3: Cross multiply
    516,022.31x = 712,120.32 × 286,600.84
  4. Step 4: Simplify right side
    516,022.31x = 204,094,280,112.77
  5. Step 5: Solve for x
    x = 204,094,280,112.77/516,022.31
  6. Step 6: Final answer
    x = 395,514.45

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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.