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Finding the Fourth Proportional to 420,886.53, 631,362.60 and 140,403.78

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Solution

The fourth proportional to 420,886.53, 631,362.60 and 140,403.78 is: 210,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,886.53 : 631,362.60 = 140,403.78 : x
  2. Step 2: Convert to fraction form
    420,886.53/631,362.60 = 140,403.78/x
  3. Step 3: Cross multiply
    420,886.53x = 631,362.60 × 140,403.78
  4. Step 4: Simplify right side
    420,886.53x = 88,645,695,590.63
  5. Step 5: Solve for x
    x = 88,645,695,590.63/420,886.53
  6. Step 6: Final answer
    x = 210,616.61

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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.