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Finding the Fourth Proportional to 294,625.57, 406,570.15 and 172,129.31

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Solution

The fourth proportional to 294,625.57, 406,570.15 and 172,129.31 is: 237,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,625.57 : 406,570.15 = 172,129.31 : x
  2. Step 2: Convert to fraction form
    294,625.57/406,570.15 = 172,129.31/x
  3. Step 3: Cross multiply
    294,625.57x = 406,570.15 × 172,129.31
  4. Step 4: Simplify right side
    294,625.57x = 69,982,639,386.10
  5. Step 5: Solve for x
    x = 69,982,639,386.10/294,625.57
  6. Step 6: Final answer
    x = 237,530.77

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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.