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Finding the Fourth Proportional to 309,641.64, 427,436.10 and 209,175.72

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Solution

The fourth proportional to 309,641.64, 427,436.10 and 209,175.72 is: 288,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,641.64 : 427,436.10 = 209,175.72 : x
  2. Step 2: Convert to fraction form
    309,641.64/427,436.10 = 209,175.72/x
  3. Step 3: Cross multiply
    309,641.64x = 427,436.10 × 209,175.72
  4. Step 4: Simplify right side
    309,641.64x = 89,409,253,971.49
  5. Step 5: Solve for x
    x = 89,409,253,971.49/309,641.64
  6. Step 6: Final answer
    x = 288,750.74

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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.