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Finding the Fourth Proportional to 421,434.88, 632,058.72 and 121,850.08

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Solution

The fourth proportional to 421,434.88, 632,058.72 and 121,850.08 is: 182,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,434.88 : 632,058.72 = 121,850.08 : x
  2. Step 2: Convert to fraction form
    421,434.88/632,058.72 = 121,850.08/x
  3. Step 3: Cross multiply
    421,434.88x = 632,058.72 × 121,850.08
  4. Step 4: Simplify right side
    421,434.88x = 77,016,405,596.70
  5. Step 5: Solve for x
    x = 77,016,405,596.70/421,434.88
  6. Step 6: Final answer
    x = 182,748.06

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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.