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Finding the Fourth Proportional to 308,088.60, 424,934.82 and 194,802

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Solution

The fourth proportional to 308,088.60, 424,934.82 and 194,802 is: 268,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,088.60 : 424,934.82 = 194,802 : x
  2. Step 2: Convert to fraction form
    308,088.60/424,934.82 = 194,802/x
  3. Step 3: Cross multiply
    308,088.60x = 424,934.82 × 194,802
  4. Step 4: Simplify right side
    308,088.60x = 82,778,152,805.64
  5. Step 5: Solve for x
    x = 82,778,152,805.64/308,088.60
  6. Step 6: Final answer
    x = 268,682.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.