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Finding the Fourth Proportional to 406,601.57, 561,113.45 and 225,316.50

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Solution

The fourth proportional to 406,601.57, 561,113.45 and 225,316.50 is: 310,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,601.57 : 561,113.45 = 225,316.50 : x
  2. Step 2: Convert to fraction form
    406,601.57/561,113.45 = 225,316.50/x
  3. Step 3: Cross multiply
    406,601.57x = 561,113.45 × 225,316.50
  4. Step 4: Simplify right side
    406,601.57x = 126,428,119,220.22
  5. Step 5: Solve for x
    x = 126,428,119,220.22/406,601.57
  6. Step 6: Final answer
    x = 310,938.59

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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.