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Finding the Fourth Proportional to 406,989.25, 561,645.17 and 228,141.25

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Solution

The fourth proportional to 406,989.25, 561,645.17 and 228,141.25 is: 314,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,989.25 : 561,645.17 = 228,141.25 : x
  2. Step 2: Convert to fraction form
    406,989.25/561,645.17 = 228,141.25/x
  3. Step 3: Cross multiply
    406,989.25x = 561,645.17 × 228,141.25
  4. Step 4: Simplify right side
    406,989.25x = 128,134,431,140.26
  5. Step 5: Solve for x
    x = 128,134,431,140.26/406,989.25
  6. Step 6: Final answer
    x = 314,834.93

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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.