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Finding the Fourth Proportional to 577,249, 865,886.46 and 198,169

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Solution

The fourth proportional to 577,249, 865,886.46 and 198,169 is: 297,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,249 : 865,886.46 = 198,169 : x
  2. Step 2: Convert to fraction form
    577,249/865,886.46 = 198,169/x
  3. Step 3: Cross multiply
    577,249x = 865,886.46 × 198,169
  4. Step 4: Simplify right side
    577,249x = 171,591,853,891.74
  5. Step 5: Solve for x
    x = 171,591,853,891.74/577,249
  6. Step 6: Final answer
    x = 297,257.95

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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.