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Finding the Fourth Proportional to 695,969.24, 960,421.70 and 405,562.64

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Solution

The fourth proportional to 695,969.24, 960,421.70 and 405,562.64 is: 559,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,969.24 : 960,421.70 = 405,562.64 : x
  2. Step 2: Convert to fraction form
    695,969.24/960,421.70 = 405,562.64/x
  3. Step 3: Cross multiply
    695,969.24x = 960,421.70 × 405,562.64
  4. Step 4: Simplify right side
    695,969.24x = 389,511,160,165.29
  5. Step 5: Solve for x
    x = 389,511,160,165.29/695,969.24
  6. Step 6: Final answer
    x = 559,667.21

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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.