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Finding the Fourth Proportional to 978,107.58, 1,467,176.74 and 445,607.10

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Solution

The fourth proportional to 978,107.58, 1,467,176.74 and 445,607.10 is: 668,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,107.58 : 1,467,176.74 = 445,607.10 : x
  2. Step 2: Convert to fraction form
    978,107.58/1,467,176.74 = 445,607.10/x
  3. Step 3: Cross multiply
    978,107.58x = 1,467,176.74 × 445,607.10
  4. Step 4: Simplify right side
    978,107.58x = 653,784,372,298.85
  5. Step 5: Solve for x
    x = 653,784,372,298.85/978,107.58
  6. Step 6: Final answer
    x = 668,417.65

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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.