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Finding the Fourth Proportional to 526,382.42, 726,413.47 and 284,669.71

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Solution

The fourth proportional to 526,382.42, 726,413.47 and 284,669.71 is: 392,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,382.42 : 726,413.47 = 284,669.71 : x
  2. Step 2: Convert to fraction form
    526,382.42/726,413.47 = 284,669.71/x
  3. Step 3: Cross multiply
    526,382.42x = 726,413.47 × 284,669.71
  4. Step 4: Simplify right side
    526,382.42x = 206,787,909,317.29
  5. Step 5: Solve for x
    x = 206,787,909,317.29/526,382.42
  6. Step 6: Final answer
    x = 392,847.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.