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Finding the Fourth Proportional to 431,240.48, 646,985.52 and 178,474.32

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Solution

The fourth proportional to 431,240.48, 646,985.52 and 178,474.32 is: 267,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,240.48 : 646,985.52 = 178,474.32 : x
  2. Step 2: Convert to fraction form
    431,240.48/646,985.52 = 178,474.32/x
  3. Step 3: Cross multiply
    431,240.48x = 646,985.52 × 178,474.32
  4. Step 4: Simplify right side
    431,240.48x = 115,470,300,731.85
  5. Step 5: Solve for x
    x = 115,470,300,731.85/431,240.48
  6. Step 6: Final answer
    x = 267,763.13

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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.