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Finding the Fourth Proportional to 328,209.74, 492,270.85 and 91,532.60

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Solution

The fourth proportional to 328,209.74, 492,270.85 and 91,532.60 is: 137,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,209.74 : 492,270.85 = 91,532.60 : x
  2. Step 2: Convert to fraction form
    328,209.74/492,270.85 = 91,532.60/x
  3. Step 3: Cross multiply
    328,209.74x = 492,270.85 × 91,532.60
  4. Step 4: Simplify right side
    328,209.74x = 45,058,830,804.71
  5. Step 5: Solve for x
    x = 45,058,830,804.71/328,209.74
  6. Step 6: Final answer
    x = 137,286.70

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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.