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Finding the Fourth Proportional to 406,400.52, 560,837.22 and 225,115.23

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Solution

The fourth proportional to 406,400.52, 560,837.22 and 225,115.23 is: 310,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,400.52 : 560,837.22 = 225,115.23 : x
  2. Step 2: Convert to fraction form
    406,400.52/560,837.22 = 225,115.23/x
  3. Step 3: Cross multiply
    406,400.52x = 560,837.22 × 225,115.23
  4. Step 4: Simplify right side
    406,400.52x = 126,252,999,772.86
  5. Step 5: Solve for x
    x = 126,252,999,772.86/406,400.52
  6. Step 6: Final answer
    x = 310,661.51

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1.5x scale

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.