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Finding the Fourth Proportional to 517,042.85, 713,562.23 and 287,643.35

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Solution

The fourth proportional to 517,042.85, 713,562.23 and 287,643.35 is: 396,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,042.85 : 713,562.23 = 287,643.35 : x
  2. Step 2: Convert to fraction form
    517,042.85/713,562.23 = 287,643.35/x
  3. Step 3: Cross multiply
    517,042.85x = 713,562.23 × 287,643.35
  4. Step 4: Simplify right side
    517,042.85x = 205,251,431,762.44
  5. Step 5: Solve for x
    x = 205,251,431,762.44/517,042.85
  6. Step 6: Final answer
    x = 396,971.80

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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.