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Finding the Fourth Proportional to 343,723.40, 515,714.70 and 166,387.40

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Solution

The fourth proportional to 343,723.40, 515,714.70 and 166,387.40 is: 249,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,723.40 : 515,714.70 = 166,387.40 : x
  2. Step 2: Convert to fraction form
    343,723.40/515,714.70 = 166,387.40/x
  3. Step 3: Cross multiply
    343,723.40x = 515,714.70 × 166,387.40
  4. Step 4: Simplify right side
    343,723.40x = 85,808,428,074.78
  5. Step 5: Solve for x
    x = 85,808,428,074.78/343,723.40
  6. Step 6: Final answer
    x = 249,643.84

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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.