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Finding the Fourth Proportional to 516,977.66, 713,416.70 and 287,534.27

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Solution

The fourth proportional to 516,977.66, 713,416.70 and 287,534.27 is: 396,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,977.66 : 713,416.70 = 287,534.27 : x
  2. Step 2: Convert to fraction form
    516,977.66/713,416.70 = 287,534.27/x
  3. Step 3: Cross multiply
    516,977.66x = 713,416.70 × 287,534.27
  4. Step 4: Simplify right side
    516,977.66x = 205,131,747,192.06
  5. Step 5: Solve for x
    x = 205,131,747,192.06/516,977.66
  6. Step 6: Final answer
    x = 396,790.35

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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.