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Finding the Fourth Proportional to 281,138.85, 387,980.49 and 153,814.44

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Solution

The fourth proportional to 281,138.85, 387,980.49 and 153,814.44 is: 212,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,138.85 : 387,980.49 = 153,814.44 : x
  2. Step 2: Convert to fraction form
    281,138.85/387,980.49 = 153,814.44/x
  3. Step 3: Cross multiply
    281,138.85x = 387,980.49 × 153,814.44
  4. Step 4: Simplify right side
    281,138.85x = 59,677,001,800.28
  5. Step 5: Solve for x
    x = 59,677,001,800.28/281,138.85
  6. Step 6: Final answer
    x = 212,268.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.