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Finding the Fourth Proportional to 431,854.90, 646,453.74 and 281,772.02

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Solution

The fourth proportional to 431,854.90, 646,453.74 and 281,772.02 is: 421,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,854.90 : 646,453.74 = 281,772.02 : x
  2. Step 2: Convert to fraction form
    431,854.90/646,453.74 = 281,772.02/x
  3. Step 3: Cross multiply
    431,854.90x = 646,453.74 × 281,772.02
  4. Step 4: Simplify right side
    431,854.90x = 182,152,576,156.36
  5. Step 5: Solve for x
    x = 182,152,576,156.36/431,854.90
  6. Step 6: Final answer
    x = 421,791.15

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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.