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Finding the Fourth Proportional to 230,414.70, 317,972.95 and 133,637.21

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Solution

The fourth proportional to 230,414.70, 317,972.95 and 133,637.21 is: 184,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,414.70 : 317,972.95 = 133,637.21 : x
  2. Step 2: Convert to fraction form
    230,414.70/317,972.95 = 133,637.21/x
  3. Step 3: Cross multiply
    230,414.70x = 317,972.95 × 133,637.21
  4. Step 4: Simplify right side
    230,414.70x = 42,493,017,893.47
  5. Step 5: Solve for x
    x = 42,493,017,893.47/230,414.70
  6. Step 6: Final answer
    x = 184,419.74

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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.