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Finding the Fourth Proportional to 498,072.89, 746,424.07 and 213,422.69

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Solution

The fourth proportional to 498,072.89, 746,424.07 and 213,422.69 is: 319,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,072.89 : 746,424.07 = 213,422.69 : x
  2. Step 2: Convert to fraction form
    498,072.89/746,424.07 = 213,422.69/x
  3. Step 3: Cross multiply
    498,072.89x = 746,424.07 × 213,422.69
  4. Step 4: Simplify right side
    498,072.89x = 159,303,834,232.65
  5. Step 5: Solve for x
    x = 159,303,834,232.65/498,072.89
  6. Step 6: Final answer
    x = 319,840.40

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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.