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Finding the Fourth Proportional to 256,205.77, 384,341.45 and 98,413.72

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Solution

The fourth proportional to 256,205.77, 384,341.45 and 98,413.72 is: 147,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,205.77 : 384,341.45 = 98,413.72 : x
  2. Step 2: Convert to fraction form
    256,205.77/384,341.45 = 98,413.72/x
  3. Step 3: Cross multiply
    256,205.77x = 384,341.45 × 98,413.72
  4. Step 4: Simplify right side
    256,205.77x = 37,824,471,844.69
  5. Step 5: Solve for x
    x = 37,824,471,844.69/256,205.77
  6. Step 6: Final answer
    x = 147,633.18

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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.