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Finding the Fourth Proportional to 677,007.92, 934,020.84 and 405,082.16

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Solution

The fourth proportional to 677,007.92, 934,020.84 and 405,082.16 is: 558,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,007.92 : 934,020.84 = 405,082.16 : x
  2. Step 2: Convert to fraction form
    677,007.92/934,020.84 = 405,082.16/x
  3. Step 3: Cross multiply
    677,007.92x = 934,020.84 × 405,082.16
  4. Step 4: Simplify right side
    677,007.92x = 378,355,179,352.21
  5. Step 5: Solve for x
    x = 378,355,179,352.21/677,007.92
  6. Step 6: Final answer
    x = 558,863.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.