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Finding the Fourth Proportional to 431,126.71, 646,768.53 and 146,802.73

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Solution

The fourth proportional to 431,126.71, 646,768.53 and 146,802.73 is: 220,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,126.71 : 646,768.53 = 146,802.73 : x
  2. Step 2: Convert to fraction form
    431,126.71/646,768.53 = 146,802.73/x
  3. Step 3: Cross multiply
    431,126.71x = 646,768.53 × 146,802.73
  4. Step 4: Simplify right side
    431,126.71x = 94,947,385,882.09
  5. Step 5: Solve for x
    x = 94,947,385,882.09/431,126.71
  6. Step 6: Final answer
    x = 220,230.81

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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.