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Finding the Fourth Proportional to 260,413.92, 390,216.87 and 180,607.59

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Solution

The fourth proportional to 260,413.92, 390,216.87 and 180,607.59 is: 270,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,413.92 : 390,216.87 = 180,607.59 : x
  2. Step 2: Convert to fraction form
    260,413.92/390,216.87 = 180,607.59/x
  3. Step 3: Cross multiply
    260,413.92x = 390,216.87 × 180,607.59
  4. Step 4: Simplify right side
    260,413.92x = 70,476,128,468.04
  5. Step 5: Solve for x
    x = 70,476,128,468.04/260,413.92
  6. Step 6: Final answer
    x = 270,631.19

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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.