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Finding the Fourth Proportional to 319,076.60, 478,614.90 and 274,753.40

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Solution

The fourth proportional to 319,076.60, 478,614.90 and 274,753.40 is: 412,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,076.60 : 478,614.90 = 274,753.40 : x
  2. Step 2: Convert to fraction form
    319,076.60/478,614.90 = 274,753.40/x
  3. Step 3: Cross multiply
    319,076.60x = 478,614.90 × 274,753.40
  4. Step 4: Simplify right side
    319,076.60x = 131,501,071,065.66
  5. Step 5: Solve for x
    x = 131,501,071,065.66/319,076.60
  6. Step 6: Final answer
    x = 412,130.10

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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.