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Finding the Fourth Proportional to 978,342.60, 1,467,513.90 and 418,470.60

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Solution

The fourth proportional to 978,342.60, 1,467,513.90 and 418,470.60 is: 627,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,342.60 : 1,467,513.90 = 418,470.60 : x
  2. Step 2: Convert to fraction form
    978,342.60/1,467,513.90 = 418,470.60/x
  3. Step 3: Cross multiply
    978,342.60x = 1,467,513.90 × 418,470.60
  4. Step 4: Simplify right side
    978,342.60x = 614,111,422,241.34
  5. Step 5: Solve for x
    x = 614,111,422,241.34/978,342.60
  6. Step 6: Final answer
    x = 627,705.90

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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.