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Finding the Fourth Proportional to 485,145.60, 727,718.40 and 271,694.40

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Solution

The fourth proportional to 485,145.60, 727,718.40 and 271,694.40 is: 407,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,145.60 : 727,718.40 = 271,694.40 : x
  2. Step 2: Convert to fraction form
    485,145.60/727,718.40 = 271,694.40/x
  3. Step 3: Cross multiply
    485,145.60x = 727,718.40 × 271,694.40
  4. Step 4: Simplify right side
    485,145.60x = 197,717,014,056.96
  5. Step 5: Solve for x
    x = 197,717,014,056.96/485,145.60
  6. Step 6: Final answer
    x = 407,541.60

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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.