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Finding the Fourth Proportional to 978,853.60, 1,468,280.40 and 314,072.80

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Solution

The fourth proportional to 978,853.60, 1,468,280.40 and 314,072.80 is: 471,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,853.60 : 1,468,280.40 = 314,072.80 : x
  2. Step 2: Convert to fraction form
    978,853.60/1,468,280.40 = 314,072.80/x
  3. Step 3: Cross multiply
    978,853.60x = 1,468,280.40 × 314,072.80
  4. Step 4: Simplify right side
    978,853.60x = 461,146,936,413.12
  5. Step 5: Solve for x
    x = 461,146,936,413.12/978,853.60
  6. Step 6: Final answer
    x = 471,109.20

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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.