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Finding the Fourth Proportional to 516,072.61, 712,155.97 and 286,644.77

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Solution

The fourth proportional to 516,072.61, 712,155.97 and 286,644.77 is: 395,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,072.61 : 712,155.97 = 286,644.77 : x
  2. Step 2: Convert to fraction form
    516,072.61/712,155.97 = 286,644.77/x
  3. Step 3: Cross multiply
    516,072.61x = 712,155.97 × 286,644.77
  4. Step 4: Simplify right side
    516,072.61x = 204,135,780,664.00
  5. Step 5: Solve for x
    x = 204,135,780,664.00/516,072.61
  6. Step 6: Final answer
    x = 395,556.32

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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.