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Finding the Fourth Proportional to 978,017.44, 1,467,373.24 and 438,231.28

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Solution

The fourth proportional to 978,017.44, 1,467,373.24 and 438,231.28 is: 657,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,017.44 : 1,467,373.24 = 438,231.28 : x
  2. Step 2: Convert to fraction form
    978,017.44/1,467,373.24 = 438,231.28/x
  3. Step 3: Cross multiply
    978,017.44x = 1,467,373.24 × 438,231.28
  4. Step 4: Simplify right side
    978,017.44x = 643,048,853,202.95
  5. Step 5: Solve for x
    x = 643,048,853,202.95/978,017.44
  6. Step 6: Final answer
    x = 657,502.44

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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.