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Finding the Fourth Proportional to 154,976, 232,464 and 38,240

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Solution

The fourth proportional to 154,976, 232,464 and 38,240 is: 57,360

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,976 : 232,464 = 38,240 : x
  2. Step 2: Convert to fraction form
    154,976/232,464 = 38,240/x
  3. Step 3: Cross multiply
    154,976x = 232,464 × 38,240
  4. Step 4: Simplify right side
    154,976x = 8,889,423,360
  5. Step 5: Solve for x
    x = 8,889,423,360/154,976
  6. Step 6: Final answer
    x = 57,360

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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.