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Finding the Fourth Proportional to 516,188.30, 712,320.08 and 286,760.03

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Solution

The fourth proportional to 516,188.30, 712,320.08 and 286,760.03 is: 395,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,188.30 : 712,320.08 = 286,760.03 : x
  2. Step 2: Convert to fraction form
    516,188.30/712,320.08 = 286,760.03/x
  3. Step 3: Cross multiply
    516,188.30x = 712,320.08 × 286,760.03
  4. Step 4: Simplify right side
    516,188.30x = 204,264,922,515.00
  5. Step 5: Solve for x
    x = 204,264,922,515.00/516,188.30
  6. Step 6: Final answer
    x = 395,717.85

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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.