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Finding the Fourth Proportional to 343,818.27, 515,727.61 and 119,178.74

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Solution

The fourth proportional to 343,818.27, 515,727.61 and 119,178.74 is: 178,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,818.27 : 515,727.61 = 119,178.74 : x
  2. Step 2: Convert to fraction form
    343,818.27/515,727.61 = 119,178.74/x
  3. Step 3: Cross multiply
    343,818.27x = 515,727.61 × 119,178.74
  4. Step 4: Simplify right side
    343,818.27x = 61,463,767,734.38
  5. Step 5: Solve for x
    x = 61,463,767,734.38/343,818.27
  6. Step 6: Final answer
    x = 178,768.18

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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.