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Finding the Fourth Proportional to 328,235.44, 492,436.14 and 91,578

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Solution

The fourth proportional to 328,235.44, 492,436.14 and 91,578 is: 137,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,235.44 : 492,436.14 = 91,578 : x
  2. Step 2: Convert to fraction form
    328,235.44/492,436.14 = 91,578/x
  3. Step 3: Cross multiply
    328,235.44x = 492,436.14 × 91,578
  4. Step 4: Simplify right side
    328,235.44x = 45,096,316,828.92
  5. Step 5: Solve for x
    x = 45,096,316,828.92/328,235.44
  6. Step 6: Final answer
    x = 137,390.15

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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.