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Finding the Fourth Proportional to 421,543.36, 632,348 and 122,028.40

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Solution

The fourth proportional to 421,543.36, 632,348 and 122,028.40 is: 183,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,543.36 : 632,348 = 122,028.40 : x
  2. Step 2: Convert to fraction form
    421,543.36/632,348 = 122,028.40/x
  3. Step 3: Cross multiply
    421,543.36x = 632,348 × 122,028.40
  4. Step 4: Simplify right side
    421,543.36x = 77,164,414,683.20
  5. Step 5: Solve for x
    x = 77,164,414,683.20/421,543.36
  6. Step 6: Final answer
    x = 183,052.14

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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.