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Finding the Fourth Proportional to 978,055.64, 1,466,958.72 and 378,606.68

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Solution

The fourth proportional to 978,055.64, 1,466,958.72 and 378,606.68 is: 567,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,055.64 : 1,466,958.72 = 378,606.68 : x
  2. Step 2: Convert to fraction form
    978,055.64/1,466,958.72 = 378,606.68/x
  3. Step 3: Cross multiply
    978,055.64x = 1,466,958.72 × 378,606.68
  4. Step 4: Simplify right side
    978,055.64x = 555,400,370,676.25
  5. Step 5: Solve for x
    x = 555,400,370,676.25/978,055.64
  6. Step 6: Final answer
    x = 567,861.73

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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.