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Finding the Fourth Proportional to 390,155.73, 538,413.24 and 218,073.45

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Solution

The fourth proportional to 390,155.73, 538,413.24 and 218,073.45 is: 300,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,155.73 : 538,413.24 = 218,073.45 : x
  2. Step 2: Convert to fraction form
    390,155.73/538,413.24 = 218,073.45/x
  3. Step 3: Cross multiply
    390,155.73x = 538,413.24 × 218,073.45
  4. Step 4: Simplify right side
    390,155.73x = 117,413,632,772.48
  5. Step 5: Solve for x
    x = 117,413,632,772.48/390,155.73
  6. Step 6: Final answer
    x = 300,940.43

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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.