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Finding the Fourth Proportional to 264,275.76, 396,413.82 and 77,287.44

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Solution

The fourth proportional to 264,275.76, 396,413.82 and 77,287.44 is: 115,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,275.76 : 396,413.82 = 77,287.44 : x
  2. Step 2: Convert to fraction form
    264,275.76/396,413.82 = 77,287.44/x
  3. Step 3: Cross multiply
    264,275.76x = 396,413.82 × 77,287.44
  4. Step 4: Simplify right side
    264,275.76x = 30,637,809,328.42
  5. Step 5: Solve for x
    x = 30,637,809,328.42/264,275.76
  6. Step 6: Final answer
    x = 115,931.21

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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.