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Finding the Fourth Proportional to 328,221.54, 492,415.34 and 91,564.11

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Solution

The fourth proportional to 328,221.54, 492,415.34 and 91,564.11 is: 137,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,221.54 : 492,415.34 = 91,564.11 : x
  2. Step 2: Convert to fraction form
    328,221.54/492,415.34 = 91,564.11/x
  3. Step 3: Cross multiply
    328,221.54x = 492,415.34 × 91,564.11
  4. Step 4: Simplify right side
    328,221.54x = 45,087,571,899.63
  5. Step 5: Solve for x
    x = 45,087,571,899.63/328,221.54
  6. Step 6: Final answer
    x = 137,369.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.