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Finding the Fourth Proportional to 695,790.10, 960,174.10 and 409,328.64

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Solution

The fourth proportional to 695,790.10, 960,174.10 and 409,328.64 is: 564,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,790.10 : 960,174.10 = 409,328.64 : x
  2. Step 2: Convert to fraction form
    695,790.10/960,174.10 = 409,328.64/x
  3. Step 3: Cross multiply
    695,790.10x = 960,174.10 × 409,328.64
  4. Step 4: Simplify right side
    695,790.10x = 393,026,759,027.89
  5. Step 5: Solve for x
    x = 393,026,759,027.89/695,790.10
  6. Step 6: Final answer
    x = 564,863.97

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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.