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Finding the Fourth Proportional to 343,722.40, 515,713.20 and 166,386.40

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Solution

The fourth proportional to 343,722.40, 515,713.20 and 166,386.40 is: 249,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,722.40 : 515,713.20 = 166,386.40 : x
  2. Step 2: Convert to fraction form
    343,722.40/515,713.20 = 166,386.40/x
  3. Step 3: Cross multiply
    343,722.40x = 515,713.20 × 166,386.40
  4. Step 4: Simplify right side
    343,722.40x = 85,807,662,780.48
  5. Step 5: Solve for x
    x = 85,807,662,780.48/343,722.40
  6. Step 6: Final answer
    x = 249,642.34

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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.