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Finding the Fourth Proportional to 406,624.64, 561,143.30 and 225,339.57

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Solution

The fourth proportional to 406,624.64, 561,143.30 and 225,339.57 is: 310,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,624.64 : 561,143.30 = 225,339.57 : x
  2. Step 2: Convert to fraction form
    406,624.64/561,143.30 = 225,339.57/x
  3. Step 3: Cross multiply
    406,624.64x = 561,143.30 × 225,339.57
  4. Step 4: Simplify right side
    406,624.64x = 126,447,788,803.68
  5. Step 5: Solve for x
    x = 126,447,788,803.68/406,624.64
  6. Step 6: Final answer
    x = 310,969.33

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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.