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Finding the Fourth Proportional to 343,980.78, 516,012.20 and 166,360.16

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Solution

The fourth proportional to 343,980.78, 516,012.20 and 166,360.16 is: 249,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,980.78 : 516,012.20 = 166,360.16 : x
  2. Step 2: Convert to fraction form
    343,980.78/516,012.20 = 166,360.16/x
  3. Step 3: Cross multiply
    343,980.78x = 516,012.20 × 166,360.16
  4. Step 4: Simplify right side
    343,980.78x = 85,843,868,742.09
  5. Step 5: Solve for x
    x = 85,843,868,742.09/343,980.78
  6. Step 6: Final answer
    x = 249,560.07

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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.