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Finding the Fourth Proportional to 431,230.48, 646,970.52 and 178,464.31

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Solution

The fourth proportional to 431,230.48, 646,970.52 and 178,464.31 is: 267,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,230.48 : 646,970.52 = 178,464.31 : x
  2. Step 2: Convert to fraction form
    431,230.48/646,970.52 = 178,464.31/x
  3. Step 3: Cross multiply
    431,230.48x = 646,970.52 × 178,464.31
  4. Step 4: Simplify right side
    431,230.48x = 115,461,147,442.14
  5. Step 5: Solve for x
    x = 115,461,147,442.14/431,230.48
  6. Step 6: Final answer
    x = 267,748.11

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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.