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Finding the Fourth Proportional to 343,456.11, 473,985.54 and 214,470.90

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Solution

The fourth proportional to 343,456.11, 473,985.54 and 214,470.90 is: 295,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,456.11 : 473,985.54 = 214,470.90 : x
  2. Step 2: Convert to fraction form
    343,456.11/473,985.54 = 214,470.90/x
  3. Step 3: Cross multiply
    343,456.11x = 473,985.54 × 214,470.90
  4. Step 4: Simplify right side
    343,456.11x = 101,656,105,350.79
  5. Step 5: Solve for x
    x = 101,656,105,350.79/343,456.11
  6. Step 6: Final answer
    x = 295,979.90

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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.