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Finding the Fourth Proportional to 421,393.93, 631,959.40 and 140,845.57

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Solution

The fourth proportional to 421,393.93, 631,959.40 and 140,845.57 is: 211,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,393.93 : 631,959.40 = 140,845.57 : x
  2. Step 2: Convert to fraction form
    421,393.93/631,959.40 = 140,845.57/x
  3. Step 3: Cross multiply
    421,393.93x = 631,959.40 × 140,845.57
  4. Step 4: Simplify right side
    421,393.93x = 89,008,680,506.02
  5. Step 5: Solve for x
    x = 89,008,680,506.02/421,393.93
  6. Step 6: Final answer
    x = 211,224.40

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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.