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Finding the Fourth Proportional to 230,415.69, 317,974.34 and 133,638.21

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Solution

The fourth proportional to 230,415.69, 317,974.34 and 133,638.21 is: 184,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,415.69 : 317,974.34 = 133,638.21 : x
  2. Step 2: Convert to fraction form
    230,415.69/317,974.34 = 133,638.21/x
  3. Step 3: Cross multiply
    230,415.69x = 317,974.34 × 133,638.21
  4. Step 4: Simplify right side
    230,415.69x = 42,493,520,955.34
  5. Step 5: Solve for x
    x = 42,493,520,955.34/230,415.69
  6. Step 6: Final answer
    x = 184,421.13

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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.