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Finding the Fourth Proportional to 343,807.40, 515,840.70 and 166,471.40

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Solution

The fourth proportional to 343,807.40, 515,840.70 and 166,471.40 is: 249,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,807.40 : 515,840.70 = 166,471.40 : x
  2. Step 2: Convert to fraction form
    343,807.40/515,840.70 = 166,471.40/x
  3. Step 3: Cross multiply
    343,807.40x = 515,840.70 × 166,471.40
  4. Step 4: Simplify right side
    343,807.40x = 85,872,723,505.98
  5. Step 5: Solve for x
    x = 85,872,723,505.98/343,807.40
  6. Step 6: Final answer
    x = 249,769.85

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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.