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Finding the Fourth Proportional to 978,053.70, 1,467,007.65 and 409,287.90

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Solution

The fourth proportional to 978,053.70, 1,467,007.65 and 409,287.90 is: 613,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,053.70 : 1,467,007.65 = 409,287.90 : x
  2. Step 2: Convert to fraction form
    978,053.70/1,467,007.65 = 409,287.90/x
  3. Step 3: Cross multiply
    978,053.70x = 1,467,007.65 × 409,287.90
  4. Step 4: Simplify right side
    978,053.70x = 600,428,480,352.44
  5. Step 5: Solve for x
    x = 600,428,480,352.44/978,053.70
  6. Step 6: Final answer
    x = 613,901.34

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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.