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Finding the Fourth Proportional to 309,843.40, 427,527.10 and 208,016.68

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Solution

The fourth proportional to 309,843.40, 427,527.10 and 208,016.68 is: 287,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,843.40 : 427,527.10 = 208,016.68 : x
  2. Step 2: Convert to fraction form
    309,843.40/427,527.10 = 208,016.68/x
  3. Step 3: Cross multiply
    309,843.40x = 427,527.10 × 208,016.68
  4. Step 4: Simplify right side
    309,843.40x = 88,932,767,952.03
  5. Step 5: Solve for x
    x = 88,932,767,952.03/309,843.40
  6. Step 6: Final answer
    x = 287,024.89

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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.