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Finding the Fourth Proportional to 978,156.14, 1,467,239.08 and 445,304.40

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Solution

The fourth proportional to 978,156.14, 1,467,239.08 and 445,304.40 is: 667,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,156.14 : 1,467,239.08 = 445,304.40 : x
  2. Step 2: Convert to fraction form
    978,156.14/1,467,239.08 = 445,304.40/x
  3. Step 3: Cross multiply
    978,156.14x = 1,467,239.08 × 445,304.40
  4. Step 4: Simplify right side
    978,156.14x = 653,368,018,175.95
  5. Step 5: Solve for x
    x = 653,368,018,175.95/978,156.14
  6. Step 6: Final answer
    x = 667,958.82

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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.