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Finding the Fourth Proportional to 978,718.80, 1,468,078.20 and 829,419.60

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Solution

The fourth proportional to 978,718.80, 1,468,078.20 and 829,419.60 is: 1,244,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,718.80 : 1,468,078.20 = 829,419.60 : x
  2. Step 2: Convert to fraction form
    978,718.80/1,468,078.20 = 829,419.60/x
  3. Step 3: Cross multiply
    978,718.80x = 1,468,078.20 × 829,419.60
  4. Step 4: Simplify right side
    978,718.80x = 1,217,652,833,412.72
  5. Step 5: Solve for x
    x = 1,217,652,833,412.72/978,718.80
  6. Step 6: Final answer
    x = 1,244,129.40

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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.