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Finding the Fourth Proportional to 328,125.71, 492,190.64 and 91,470.44

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Solution

The fourth proportional to 328,125.71, 492,190.64 and 91,470.44 is: 137,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,125.71 : 492,190.64 = 91,470.44 : x
  2. Step 2: Convert to fraction form
    328,125.71/492,190.64 = 91,470.44/x
  3. Step 3: Cross multiply
    328,125.71x = 492,190.64 × 91,470.44
  4. Step 4: Simplify right side
    328,125.71x = 45,020,891,486.38
  5. Step 5: Solve for x
    x = 45,020,891,486.38/328,125.71
  6. Step 6: Final answer
    x = 137,206.23

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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.