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Finding the Fourth Proportional to 978,252.24, 1,467,441.12 and 338,617.64

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Solution

The fourth proportional to 978,252.24, 1,467,441.12 and 338,617.64 is: 507,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,252.24 : 1,467,441.12 = 338,617.64 : x
  2. Step 2: Convert to fraction form
    978,252.24/1,467,441.12 = 338,617.64/x
  3. Step 3: Cross multiply
    978,252.24x = 1,467,441.12 × 338,617.64
  4. Step 4: Simplify right side
    978,252.24x = 496,901,448,893.36
  5. Step 5: Solve for x
    x = 496,901,448,893.36/978,252.24
  6. Step 6: Final answer
    x = 507,948.18

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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.