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Finding the Fourth Proportional to 431,137.41, 646,806.29 and 146,830.42

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Solution

The fourth proportional to 431,137.41, 646,806.29 and 146,830.42 is: 220,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,137.41 : 646,806.29 = 146,830.42 : x
  2. Step 2: Convert to fraction form
    431,137.41/646,806.29 = 146,830.42/x
  3. Step 3: Cross multiply
    431,137.41x = 646,806.29 × 146,830.42
  4. Step 4: Simplify right side
    431,137.41x = 94,970,836,868.17
  5. Step 5: Solve for x
    x = 94,970,836,868.17/431,137.41
  6. Step 6: Final answer
    x = 220,279.74

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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.