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Finding the Fourth Proportional to 406,577.39, 561,068.43 and 225,287.74

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Solution

The fourth proportional to 406,577.39, 561,068.43 and 225,287.74 is: 310,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,577.39 : 561,068.43 = 225,287.74 : x
  2. Step 2: Convert to fraction form
    406,577.39/561,068.43 = 225,287.74/x
  3. Step 3: Cross multiply
    406,577.39x = 561,068.43 × 225,287.74
  4. Step 4: Simplify right side
    406,577.39x = 126,401,835,774.71
  5. Step 5: Solve for x
    x = 126,401,835,774.71/406,577.39
  6. Step 6: Final answer
    x = 310,892.44

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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.