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Finding the Fourth Proportional to 406,389.86, 560,849.58 and 225,118.64

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Solution

The fourth proportional to 406,389.86, 560,849.58 and 225,118.64 is: 310,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,389.86 : 560,849.58 = 225,118.64 : x
  2. Step 2: Convert to fraction form
    406,389.86/560,849.58 = 225,118.64/x
  3. Step 3: Cross multiply
    406,389.86x = 560,849.58 × 225,118.64
  4. Step 4: Simplify right side
    406,389.86x = 126,257,694,694.17
  5. Step 5: Solve for x
    x = 126,257,694,694.17/406,389.86
  6. Step 6: Final answer
    x = 310,681.21

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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.