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Finding the Fourth Proportional to 262,422, 393,601.74 and 154,415.93

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Solution

The fourth proportional to 262,422, 393,601.74 and 154,415.93 is: 231,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,422 : 393,601.74 = 154,415.93 : x
  2. Step 2: Convert to fraction form
    262,422/393,601.74 = 154,415.93/x
  3. Step 3: Cross multiply
    262,422x = 393,601.74 × 154,415.93
  4. Step 4: Simplify right side
    262,422x = 60,778,376,763.71
  5. Step 5: Solve for x
    x = 60,778,376,763.71/262,422
  6. Step 6: Final answer
    x = 231,605.49

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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.