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Finding the Fourth Proportional to 311,317.65, 466,413.32 and 142,978.80

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Solution

The fourth proportional to 311,317.65, 466,413.32 and 142,978.80 is: 214,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,317.65 : 466,413.32 = 142,978.80 : x
  2. Step 2: Convert to fraction form
    311,317.65/466,413.32 = 142,978.80/x
  3. Step 3: Cross multiply
    311,317.65x = 466,413.32 × 142,978.80
  4. Step 4: Simplify right side
    311,317.65x = 66,687,214,333.67
  5. Step 5: Solve for x
    x = 66,687,214,333.67/311,317.65
  6. Step 6: Final answer
    x = 214,209.55

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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.