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Finding the Fourth Proportional to 653,513.05, 978,850.01 and 315,845.55

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Solution

The fourth proportional to 653,513.05, 978,850.01 and 315,845.55 is: 473,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,513.05 : 978,850.01 = 315,845.55 : x
  2. Step 2: Convert to fraction form
    653,513.05/978,850.01 = 315,845.55/x
  3. Step 3: Cross multiply
    653,513.05x = 978,850.01 × 315,845.55
  4. Step 4: Simplify right side
    653,513.05x = 309,165,415,671.32
  5. Step 5: Solve for x
    x = 309,165,415,671.32/653,513.05
  6. Step 6: Final answer
    x = 473,082.24

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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.