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Finding the Fourth Proportional to 516,385.98, 712,598.45 and 286,937.33

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Solution

The fourth proportional to 516,385.98, 712,598.45 and 286,937.33 is: 395,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,385.98 : 712,598.45 = 286,937.33 : x
  2. Step 2: Convert to fraction form
    516,385.98/712,598.45 = 286,937.33/x
  3. Step 3: Cross multiply
    516,385.98x = 712,598.45 × 286,937.33
  4. Step 4: Simplify right side
    516,385.98x = 204,471,091,607.46
  5. Step 5: Solve for x
    x = 204,471,091,607.46/516,385.98
  6. Step 6: Final answer
    x = 395,965.61

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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.