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Finding the Fourth Proportional to 328,515.67, 492,387.14 and 148,390.84

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Solution

The fourth proportional to 328,515.67, 492,387.14 and 148,390.84 is: 222,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,515.67 : 492,387.14 = 148,390.84 : x
  2. Step 2: Convert to fraction form
    328,515.67/492,387.14 = 148,390.84/x
  3. Step 3: Cross multiply
    328,515.67x = 492,387.14 × 148,390.84
  4. Step 4: Simplify right side
    328,515.67x = 73,065,741,309.80
  5. Step 5: Solve for x
    x = 73,065,741,309.80/328,515.67
  6. Step 6: Final answer
    x = 222,411.74

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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.