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Finding the Fourth Proportional to 406,673.86, 561,209.98 and 225,397.49

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Solution

The fourth proportional to 406,673.86, 561,209.98 and 225,397.49 is: 311,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,673.86 : 561,209.98 = 225,397.49 : x
  2. Step 2: Convert to fraction form
    406,673.86/561,209.98 = 225,397.49/x
  3. Step 3: Cross multiply
    406,673.86x = 561,209.98 × 225,397.49
  4. Step 4: Simplify right side
    406,673.86x = 126,495,319,868.84
  5. Step 5: Solve for x
    x = 126,495,319,868.84/406,673.86
  6. Step 6: Final answer
    x = 311,048.57

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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.