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Finding the Fourth Proportional to 347,811.80, 521,717.70 and 343,146.20

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Solution

The fourth proportional to 347,811.80, 521,717.70 and 343,146.20 is: 514,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,811.80 : 521,717.70 = 343,146.20 : x
  2. Step 2: Convert to fraction form
    347,811.80/521,717.70 = 343,146.20/x
  3. Step 3: Cross multiply
    347,811.80x = 521,717.70 × 343,146.20
  4. Step 4: Simplify right side
    347,811.80x = 179,025,446,227.74
  5. Step 5: Solve for x
    x = 179,025,446,227.74/347,811.80
  6. Step 6: Final answer
    x = 514,719.30

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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.