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Finding the Fourth Proportional to 978,453.96, 1,468,144.77 and 472,731.48

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Solution

The fourth proportional to 978,453.96, 1,468,144.77 and 472,731.48 is: 709,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,453.96 : 1,468,144.77 = 472,731.48 : x
  2. Step 2: Convert to fraction form
    978,453.96/1,468,144.77 = 472,731.48/x
  3. Step 3: Cross multiply
    978,453.96x = 1,468,144.77 × 472,731.48
  4. Step 4: Simplify right side
    978,453.96x = 694,038,249,976.36
  5. Step 5: Solve for x
    x = 694,038,249,976.36/978,453.96
  6. Step 6: Final answer
    x = 709,321.32

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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.