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Finding the Fourth Proportional to 695,857.36, 960,266.89 and 409,395.89

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Solution

The fourth proportional to 695,857.36, 960,266.89 and 409,395.89 is: 564,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,857.36 : 960,266.89 = 409,395.89 : x
  2. Step 2: Convert to fraction form
    695,857.36/960,266.89 = 409,395.89/x
  3. Step 3: Cross multiply
    695,857.36x = 960,266.89 × 409,395.89
  4. Step 4: Simplify right side
    695,857.36x = 393,129,318,069.08
  5. Step 5: Solve for x
    x = 393,129,318,069.08/695,857.36
  6. Step 6: Final answer
    x = 564,956.76

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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.