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Finding the Fourth Proportional to 695,847.52, 960,253.68 and 409,304.80

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Solution

The fourth proportional to 695,847.52, 960,253.68 and 409,304.80 is: 564,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,847.52 : 960,253.68 = 409,304.80 : x
  2. Step 2: Convert to fraction form
    695,847.52/960,253.68 = 409,304.80/x
  3. Step 3: Cross multiply
    695,847.52x = 960,253.68 × 409,304.80
  4. Step 4: Simplify right side
    695,847.52x = 393,036,440,441.66
  5. Step 5: Solve for x
    x = 393,036,440,441.66/695,847.52
  6. Step 6: Final answer
    x = 564,831.27

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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.