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Finding the Fourth Proportional to 314,377.64, 433,841.13 and 171,138.72

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Solution

The fourth proportional to 314,377.64, 433,841.13 and 171,138.72 is: 236,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,377.64 : 433,841.13 = 171,138.72 : x
  2. Step 2: Convert to fraction form
    314,377.64/433,841.13 = 171,138.72/x
  3. Step 3: Cross multiply
    314,377.64x = 433,841.13 × 171,138.72
  4. Step 4: Simplify right side
    314,377.64x = 74,247,015,671.55
  5. Step 5: Solve for x
    x = 74,247,015,671.55/314,377.64
  6. Step 6: Final answer
    x = 236,171.43

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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.