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Finding the Fourth Proportional to 328,180.08, 492,270.07 and 78,862.08

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Solution

The fourth proportional to 328,180.08, 492,270.07 and 78,862.08 is: 118,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,180.08 : 492,270.07 = 78,862.08 : x
  2. Step 2: Convert to fraction form
    328,180.08/492,270.07 = 78,862.08/x
  3. Step 3: Cross multiply
    328,180.08x = 492,270.07 × 78,862.08
  4. Step 4: Simplify right side
    328,180.08x = 38,821,441,641.95
  5. Step 5: Solve for x
    x = 38,821,441,641.95/328,180.08
  6. Step 6: Final answer
    x = 118,293.11

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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.