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Finding the Fourth Proportional to 256,413.60, 384,741.90 and 172,214.10

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Solution

The fourth proportional to 256,413.60, 384,741.90 and 172,214.10 is: 258,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,413.60 : 384,741.90 = 172,214.10 : x
  2. Step 2: Convert to fraction form
    256,413.60/384,741.90 = 172,214.10/x
  3. Step 3: Cross multiply
    256,413.60x = 384,741.90 × 172,214.10
  4. Step 4: Simplify right side
    256,413.60x = 66,257,980,040.79
  5. Step 5: Solve for x
    x = 66,257,980,040.79/256,413.60
  6. Step 6: Final answer
    x = 258,402.75

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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.