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Finding the Fourth Proportional to 319,139.20, 478,305.60 and 161,411.20

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Solution

The fourth proportional to 319,139.20, 478,305.60 and 161,411.20 is: 241,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,139.20 : 478,305.60 = 161,411.20 : x
  2. Step 2: Convert to fraction form
    319,139.20/478,305.60 = 161,411.20/x
  3. Step 3: Cross multiply
    319,139.20x = 478,305.60 × 161,411.20
  4. Step 4: Simplify right side
    319,139.20x = 77,203,880,862.72
  5. Step 5: Solve for x
    x = 77,203,880,862.72/319,139.20
  6. Step 6: Final answer
    x = 241,912.87

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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.