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Finding the Fourth Proportional to 353,413.40, 530,120.10 and 269,432.60

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Solution

The fourth proportional to 353,413.40, 530,120.10 and 269,432.60 is: 404,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,413.40 : 530,120.10 = 269,432.60 : x
  2. Step 2: Convert to fraction form
    353,413.40/530,120.10 = 269,432.60/x
  3. Step 3: Cross multiply
    353,413.40x = 530,120.10 × 269,432.60
  4. Step 4: Simplify right side
    353,413.40x = 142,831,636,855.26
  5. Step 5: Solve for x
    x = 142,831,636,855.26/353,413.40
  6. Step 6: Final answer
    x = 404,148.90

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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.