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Finding the Fourth Proportional to 431,070.80, 645,731.40 and 243,863.60

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Solution

The fourth proportional to 431,070.80, 645,731.40 and 243,863.60 is: 365,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,070.80 : 645,731.40 = 243,863.60 : x
  2. Step 2: Convert to fraction form
    431,070.80/645,731.40 = 243,863.60/x
  3. Step 3: Cross multiply
    431,070.80x = 645,731.40 × 243,863.60
  4. Step 4: Simplify right side
    431,070.80x = 157,470,383,837.04
  5. Step 5: Solve for x
    x = 157,470,383,837.04/431,070.80
  6. Step 6: Final answer
    x = 365,300.51

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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.