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Finding the Fourth Proportional to 256,413.90, 384,730.20 and 123,225.60

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Solution

The fourth proportional to 256,413.90, 384,730.20 and 123,225.60 is: 184,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,413.90 : 384,730.20 = 123,225.60 : x
  2. Step 2: Convert to fraction form
    256,413.90/384,730.20 = 123,225.60/x
  3. Step 3: Cross multiply
    256,413.90x = 384,730.20 × 123,225.60
  4. Step 4: Simplify right side
    256,413.90x = 47,408,609,733.12
  5. Step 5: Solve for x
    x = 47,408,609,733.12/256,413.90
  6. Step 6: Final answer
    x = 184,890.95

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1.5x scale

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.