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Finding the Fourth Proportional to 406,401.57, 560,778.66 and 225,068.76

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Solution

The fourth proportional to 406,401.57, 560,778.66 and 225,068.76 is: 310,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,401.57 : 560,778.66 = 225,068.76 : x
  2. Step 2: Convert to fraction form
    406,401.57/560,778.66 = 225,068.76/x
  3. Step 3: Cross multiply
    406,401.57x = 560,778.66 × 225,068.76
  4. Step 4: Simplify right side
    406,401.57x = 126,213,757,640.66
  5. Step 5: Solve for x
    x = 126,213,757,640.66/406,401.57
  6. Step 6: Final answer
    x = 310,564.15

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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.