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Finding the Fourth Proportional to 319,456.20, 478,781.10 and 161,728.20

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Solution

The fourth proportional to 319,456.20, 478,781.10 and 161,728.20 is: 242,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,456.20 : 478,781.10 = 161,728.20 : x
  2. Step 2: Convert to fraction form
    319,456.20/478,781.10 = 161,728.20/x
  3. Step 3: Cross multiply
    319,456.20x = 478,781.10 × 161,728.20
  4. Step 4: Simplify right side
    319,456.20x = 77,432,405,497.02
  5. Step 5: Solve for x
    x = 77,432,405,497.02/319,456.20
  6. Step 6: Final answer
    x = 242,388.18

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1.5x scale

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.