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Finding the Fourth Proportional to 516,000, 712,097.70 and 286,560.92

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Solution

The fourth proportional to 516,000, 712,097.70 and 286,560.92 is: 395,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,000 : 712,097.70 = 286,560.92 : x
  2. Step 2: Convert to fraction form
    516,000/712,097.70 = 286,560.92/x
  3. Step 3: Cross multiply
    516,000x = 712,097.70 × 286,560.92
  4. Step 4: Simplify right side
    516,000x = 204,059,368,481.40
  5. Step 5: Solve for x
    x = 204,059,368,481.40/516,000
  6. Step 6: Final answer
    x = 395,463.89

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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.