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Finding the Fourth Proportional to 978,132.64, 1,467,203.82 and 445,280.98

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Solution

The fourth proportional to 978,132.64, 1,467,203.82 and 445,280.98 is: 667,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,132.64 : 1,467,203.82 = 445,280.98 : x
  2. Step 2: Convert to fraction form
    978,132.64/1,467,203.82 = 445,280.98/x
  3. Step 3: Cross multiply
    978,132.64x = 1,467,203.82 × 445,280.98
  4. Step 4: Simplify right side
    978,132.64x = 653,317,954,829.34
  5. Step 5: Solve for x
    x = 653,317,954,829.34/978,132.64
  6. Step 6: Final answer
    x = 667,923.68

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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.