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Finding the Fourth Proportional to 343,378.40, 514,921.80 and 165,939.80

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Solution

The fourth proportional to 343,378.40, 514,921.80 and 165,939.80 is: 248,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,378.40 : 514,921.80 = 165,939.80 : x
  2. Step 2: Convert to fraction form
    343,378.40/514,921.80 = 165,939.80/x
  3. Step 3: Cross multiply
    343,378.40x = 514,921.80 × 165,939.80
  4. Step 4: Simplify right side
    343,378.40x = 85,446,020,507.64
  5. Step 5: Solve for x
    x = 85,446,020,507.64/343,378.40
  6. Step 6: Final answer
    x = 248,839.24

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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.