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Finding the Fourth Proportional to 248,178, 372,390 and 98,415

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Solution

The fourth proportional to 248,178, 372,390 and 98,415 is: 147,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,178 : 372,390 = 98,415 : x
  2. Step 2: Convert to fraction form
    248,178/372,390 = 98,415/x
  3. Step 3: Cross multiply
    248,178x = 372,390 × 98,415
  4. Step 4: Simplify right side
    248,178x = 36,648,761,850
  5. Step 5: Solve for x
    x = 36,648,761,850/248,178
  6. Step 6: Final answer
    x = 147,671.28

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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.