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Finding the Fourth Proportional to 472,306.34, 708,462.70 and 172,663.65

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Solution

The fourth proportional to 472,306.34, 708,462.70 and 172,663.65 is: 258,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,306.34 : 708,462.70 = 172,663.65 : x
  2. Step 2: Convert to fraction form
    472,306.34/708,462.70 = 172,663.65/x
  3. Step 3: Cross multiply
    472,306.34x = 708,462.70 × 172,663.65
  4. Step 4: Simplify right side
    472,306.34x = 122,325,755,670.86
  5. Step 5: Solve for x
    x = 122,325,755,670.86/472,306.34
  6. Step 6: Final answer
    x = 258,996.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.