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Finding the Fourth Proportional to 695,870.40, 960,284.88 and 409,408.92

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Solution

The fourth proportional to 695,870.40, 960,284.88 and 409,408.92 is: 564,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,870.40 : 960,284.88 = 409,408.92 : x
  2. Step 2: Convert to fraction form
    695,870.40/960,284.88 = 409,408.92/x
  3. Step 3: Cross multiply
    695,870.40x = 960,284.88 × 409,408.92
  4. Step 4: Simplify right side
    695,870.40x = 393,149,195,613.13
  5. Step 5: Solve for x
    x = 393,149,195,613.13/695,870.40
  6. Step 6: Final answer
    x = 564,974.74

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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.