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Finding the Fourth Proportional to 343,655.40, 515,612.70 and 166,319.40

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Solution

The fourth proportional to 343,655.40, 515,612.70 and 166,319.40 is: 249,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,655.40 : 515,612.70 = 166,319.40 : x
  2. Step 2: Convert to fraction form
    343,655.40/515,612.70 = 166,319.40/x
  3. Step 3: Cross multiply
    343,655.40x = 515,612.70 × 166,319.40
  4. Step 4: Simplify right side
    343,655.40x = 85,756,394,896.38
  5. Step 5: Solve for x
    x = 85,756,394,896.38/343,655.40
  6. Step 6: Final answer
    x = 249,541.82

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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.