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Finding the Fourth Proportional to 516,006.52, 712,064.93 and 286,578.68

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Solution

The fourth proportional to 516,006.52, 712,064.93 and 286,578.68 is: 395,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,006.52 : 712,064.93 = 286,578.68 : x
  2. Step 2: Convert to fraction form
    516,006.52/712,064.93 = 286,578.68/x
  3. Step 3: Cross multiply
    516,006.52x = 712,064.93 × 286,578.68
  4. Step 4: Simplify right side
    516,006.52x = 204,062,622,720.47
  5. Step 5: Solve for x
    x = 204,062,622,720.47/516,006.52
  6. Step 6: Final answer
    x = 395,465.20

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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.