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Finding the Fourth Proportional to 294,625.67, 406,570.30 and 172,129.40

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Solution

The fourth proportional to 294,625.67, 406,570.30 and 172,129.40 is: 237,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,625.67 : 406,570.30 = 172,129.40 : x
  2. Step 2: Convert to fraction form
    294,625.67/406,570.30 = 172,129.40/x
  3. Step 3: Cross multiply
    294,625.67x = 406,570.30 × 172,129.40
  4. Step 4: Simplify right side
    294,625.67x = 69,982,701,796.82
  5. Step 5: Solve for x
    x = 69,982,701,796.82/294,625.67
  6. Step 6: Final answer
    x = 237,530.90

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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.