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Finding the Fourth Proportional to 978,022.33, 1,465,998.08 and 328,980.66

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Solution

The fourth proportional to 978,022.33, 1,465,998.08 and 328,980.66 is: 493,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,022.33 : 1,465,998.08 = 328,980.66 : x
  2. Step 2: Convert to fraction form
    978,022.33/1,465,998.08 = 328,980.66/x
  3. Step 3: Cross multiply
    978,022.33x = 1,465,998.08 × 328,980.66
  4. Step 4: Simplify right side
    978,022.33x = 482,285,008,774.74
  5. Step 5: Solve for x
    x = 482,285,008,774.74/978,022.33
  6. Step 6: Final answer
    x = 493,122.70

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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.