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Finding the Fourth Proportional to 256,556.32, 384,413.78 and 181,308.94

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Solution

The fourth proportional to 256,556.32, 384,413.78 and 181,308.94 is: 271,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,556.32 : 384,413.78 = 181,308.94 : x
  2. Step 2: Convert to fraction form
    256,556.32/384,413.78 = 181,308.94/x
  3. Step 3: Cross multiply
    256,556.32x = 384,413.78 × 181,308.94
  4. Step 4: Simplify right side
    256,556.32x = 69,697,654,973.19
  5. Step 5: Solve for x
    x = 69,697,654,973.19/256,556.32
  6. Step 6: Final answer
    x = 271,666.10

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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.