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Finding the Fourth Proportional to 254,477.60, 380,938.80 and 198,490.40

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Solution

The fourth proportional to 254,477.60, 380,938.80 and 198,490.40 is: 297,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,477.60 : 380,938.80 = 198,490.40 : x
  2. Step 2: Convert to fraction form
    254,477.60/380,938.80 = 198,490.40/x
  3. Step 3: Cross multiply
    254,477.60x = 380,938.80 × 198,490.40
  4. Step 4: Simplify right side
    254,477.60x = 75,612,694,787.52
  5. Step 5: Solve for x
    x = 75,612,694,787.52/254,477.60
  6. Step 6: Final answer
    x = 297,129.08

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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.