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Finding the Fourth Proportional to 380,358.20, 570,405.91 and 110,413.14

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Solution

The fourth proportional to 380,358.20, 570,405.91 and 110,413.14 is: 165,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,358.20 : 570,405.91 = 110,413.14 : x
  2. Step 2: Convert to fraction form
    380,358.20/570,405.91 = 110,413.14/x
  3. Step 3: Cross multiply
    380,358.20x = 570,405.91 × 110,413.14
  4. Step 4: Simplify right side
    380,358.20x = 62,980,309,607.27
  5. Step 5: Solve for x
    x = 62,980,309,607.27/380,358.20
  6. Step 6: Final answer
    x = 165,581.57

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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.