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Finding the Fourth Proportional to 344,596.25, 516,894.49 and 142,189.40

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Solution

The fourth proportional to 344,596.25, 516,894.49 and 142,189.40 is: 213,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,596.25 : 516,894.49 = 142,189.40 : x
  2. Step 2: Convert to fraction form
    344,596.25/516,894.49 = 142,189.40/x
  3. Step 3: Cross multiply
    344,596.25x = 516,894.49 × 142,189.40
  4. Step 4: Simplify right side
    344,596.25x = 73,496,917,012.71
  5. Step 5: Solve for x
    x = 73,496,917,012.71/344,596.25
  6. Step 6: Final answer
    x = 213,284.15

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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.