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Finding the Fourth Proportional to 314,063.64, 471,138.89 and 100,781.39

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Solution

The fourth proportional to 314,063.64, 471,138.89 and 100,781.39 is: 151,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,063.64 : 471,138.89 = 100,781.39 : x
  2. Step 2: Convert to fraction form
    314,063.64/471,138.89 = 100,781.39/x
  3. Step 3: Cross multiply
    314,063.64x = 471,138.89 × 100,781.39
  4. Step 4: Simplify right side
    314,063.64x = 47,482,029,357.66
  5. Step 5: Solve for x
    x = 47,482,029,357.66/314,063.64
  6. Step 6: Final answer
    x = 151,186.01

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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.