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Finding the Fourth Proportional to 328,140.72, 492,204.12 and 91,477.20

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Solution

The fourth proportional to 328,140.72, 492,204.12 and 91,477.20 is: 137,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,140.72 : 492,204.12 = 91,477.20 : x
  2. Step 2: Convert to fraction form
    328,140.72/492,204.12 = 91,477.20/x
  3. Step 3: Cross multiply
    328,140.72x = 492,204.12 × 91,477.20
  4. Step 4: Simplify right side
    328,140.72x = 45,025,454,726.06
  5. Step 5: Solve for x
    x = 45,025,454,726.06/328,140.72
  6. Step 6: Final answer
    x = 137,213.86

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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.