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Finding the Fourth Proportional to 421,468, 632,070.78 and 140,919.64

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Solution

The fourth proportional to 421,468, 632,070.78 and 140,919.64 is: 211,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,468 : 632,070.78 = 140,919.64 : x
  2. Step 2: Convert to fraction form
    421,468/632,070.78 = 140,919.64/x
  3. Step 3: Cross multiply
    421,468x = 632,070.78 × 140,919.64
  4. Step 4: Simplify right side
    421,468x = 89,071,186,772.12
  5. Step 5: Solve for x
    x = 89,071,186,772.12/421,468
  6. Step 6: Final answer
    x = 211,335.59

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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.