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Finding the Fourth Proportional to 343,213.88, 473,635.28 and 209,077.88

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Solution

The fourth proportional to 343,213.88, 473,635.28 and 209,077.88 is: 288,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,213.88 : 473,635.28 = 209,077.88 : x
  2. Step 2: Convert to fraction form
    343,213.88/473,635.28 = 209,077.88/x
  3. Step 3: Cross multiply
    343,213.88x = 473,635.28 × 209,077.88
  4. Step 4: Simplify right side
    343,213.88x = 99,026,658,390.12
  5. Step 5: Solve for x
    x = 99,026,658,390.12/343,213.88
  6. Step 6: Final answer
    x = 288,527.55

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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.