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Finding the Fourth Proportional to 343,838.97, 515,764.79 and 119,206.71

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Solution

The fourth proportional to 343,838.97, 515,764.79 and 119,206.71 is: 178,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,838.97 : 515,764.79 = 119,206.71 : x
  2. Step 2: Convert to fraction form
    343,838.97/515,764.79 = 119,206.71/x
  3. Step 3: Cross multiply
    343,838.97x = 515,764.79 × 119,206.71
  4. Step 4: Simplify right side
    343,838.97x = 61,482,623,749.74
  5. Step 5: Solve for x
    x = 61,482,623,749.74/343,838.97
  6. Step 6: Final answer
    x = 178,812.26

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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.