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Finding the Fourth Proportional to 516,078.86, 712,164.60 and 286,651.02

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Solution

The fourth proportional to 516,078.86, 712,164.60 and 286,651.02 is: 395,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,078.86 : 712,164.60 = 286,651.02 : x
  2. Step 2: Convert to fraction form
    516,078.86/712,164.60 = 286,651.02/x
  3. Step 3: Cross multiply
    516,078.86x = 712,164.60 × 286,651.02
  4. Step 4: Simplify right side
    516,078.86x = 204,142,708,997.89
  5. Step 5: Solve for x
    x = 204,142,708,997.89/516,078.86
  6. Step 6: Final answer
    x = 395,564.95

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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.