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Finding the Fourth Proportional to 695,864.98, 960,277.37 and 409,403.49

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Solution

The fourth proportional to 695,864.98, 960,277.37 and 409,403.49 is: 564,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,864.98 : 960,277.37 = 409,403.49 : x
  2. Step 2: Convert to fraction form
    695,864.98/960,277.37 = 409,403.49/x
  3. Step 3: Cross multiply
    695,864.98x = 960,277.37 × 409,403.49
  4. Step 4: Simplify right side
    695,864.98x = 393,140,906,646.02
  5. Step 5: Solve for x
    x = 393,140,906,646.02/695,864.98
  6. Step 6: Final answer
    x = 564,967.22

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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.