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Finding the Fourth Proportional to 406,480.96, 560,899.74 and 225,188.20

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Solution

The fourth proportional to 406,480.96, 560,899.74 and 225,188.20 is: 310,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,480.96 : 560,899.74 = 225,188.20 : x
  2. Step 2: Convert to fraction form
    406,480.96/560,899.74 = 225,188.20/x
  3. Step 3: Cross multiply
    406,480.96x = 560,899.74 × 225,188.20
  4. Step 4: Simplify right side
    406,480.96x = 126,308,002,831.07
  5. Step 5: Solve for x
    x = 126,308,002,831.07/406,480.96
  6. Step 6: Final answer
    x = 310,735.35

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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.