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Finding the Fourth Proportional to 319,002.40, 478,892.40 and 161,149.60

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Solution

The fourth proportional to 319,002.40, 478,892.40 and 161,149.60 is: 241,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,002.40 : 478,892.40 = 161,149.60 : x
  2. Step 2: Convert to fraction form
    319,002.40/478,892.40 = 161,149.60/x
  3. Step 3: Cross multiply
    319,002.40x = 478,892.40 × 161,149.60
  4. Step 4: Simplify right side
    319,002.40x = 77,173,318,703.04
  5. Step 5: Solve for x
    x = 77,173,318,703.04/319,002.40
  6. Step 6: Final answer
    x = 241,920.81

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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.