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Finding the Fourth Proportional to 328,520, 492,780.81 and 91,862.30

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Solution

The fourth proportional to 328,520, 492,780.81 and 91,862.30 is: 137,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,520 : 492,780.81 = 91,862.30 : x
  2. Step 2: Convert to fraction form
    328,520/492,780.81 = 91,862.30/x
  3. Step 3: Cross multiply
    328,520x = 492,780.81 × 91,862.30
  4. Step 4: Simplify right side
    328,520x = 45,267,978,602.46
  5. Step 5: Solve for x
    x = 45,267,978,602.46/328,520
  6. Step 6: Final answer
    x = 137,793.68

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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.