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Finding the Fourth Proportional to 347,751.90, 479,915.65 and 194,781.14

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Solution

The fourth proportional to 347,751.90, 479,915.65 and 194,781.14 is: 268,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,751.90 : 479,915.65 = 194,781.14 : x
  2. Step 2: Convert to fraction form
    347,751.90/479,915.65 = 194,781.14/x
  3. Step 3: Cross multiply
    347,751.90x = 479,915.65 × 194,781.14
  4. Step 4: Simplify right side
    347,751.90x = 93,478,517,054.42
  5. Step 5: Solve for x
    x = 93,478,517,054.42/347,751.90
  6. Step 6: Final answer
    x = 268,808.07

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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.