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Finding the Fourth Proportional to 431,153.17, 646,726.26 and 111,277.69

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Solution

The fourth proportional to 431,153.17, 646,726.26 and 111,277.69 is: 166,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,153.17 : 646,726.26 = 111,277.69 : x
  2. Step 2: Convert to fraction form
    431,153.17/646,726.26 = 111,277.69/x
  3. Step 3: Cross multiply
    431,153.17x = 646,726.26 × 111,277.69
  4. Step 4: Simplify right side
    431,153.17x = 71,966,204,275.14
  5. Step 5: Solve for x
    x = 71,966,204,275.14/431,153.17
  6. Step 6: Final answer
    x = 166,915.63

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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.