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Finding the Fourth Proportional to 398,413.47, 549,794.54 and 217,121.51

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Solution

The fourth proportional to 398,413.47, 549,794.54 and 217,121.51 is: 299,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,413.47 : 549,794.54 = 217,121.51 : x
  2. Step 2: Convert to fraction form
    398,413.47/549,794.54 = 217,121.51/x
  3. Step 3: Cross multiply
    398,413.47x = 549,794.54 × 217,121.51
  4. Step 4: Simplify right side
    398,413.47x = 119,372,222,631.85
  5. Step 5: Solve for x
    x = 119,372,222,631.85/398,413.47
  6. Step 6: Final answer
    x = 299,618.94

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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.