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Finding the Fourth Proportional to 695,854.72, 960,468.48 and 409,466.88

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Solution

The fourth proportional to 695,854.72, 960,468.48 and 409,466.88 is: 565,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,854.72 : 960,468.48 = 409,466.88 : x
  2. Step 2: Convert to fraction form
    695,854.72/960,468.48 = 409,466.88/x
  3. Step 3: Cross multiply
    695,854.72x = 960,468.48 × 409,466.88
  4. Step 4: Simplify right side
    695,854.72x = 393,280,031,843.94
  5. Step 5: Solve for x
    x = 393,280,031,843.94/695,854.72
  6. Step 6: Final answer
    x = 565,175.49

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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.