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Finding the Fourth Proportional to 406,603.78, 561,116.50 and 225,318.72

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Solution

The fourth proportional to 406,603.78, 561,116.50 and 225,318.72 is: 310,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,603.78 : 561,116.50 = 225,318.72 : x
  2. Step 2: Convert to fraction form
    406,603.78/561,116.50 = 225,318.72/x
  3. Step 3: Cross multiply
    406,603.78x = 561,116.50 × 225,318.72
  4. Step 4: Simplify right side
    406,603.78x = 126,430,051,550.88
  5. Step 5: Solve for x
    x = 126,430,051,550.88/406,603.78
  6. Step 6: Final answer
    x = 310,941.65

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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.