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Finding the Fourth Proportional to 406,989, 561,644.82 and 228,141

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Solution

The fourth proportional to 406,989, 561,644.82 and 228,141 is: 314,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,989 : 561,644.82 = 228,141 : x
  2. Step 2: Convert to fraction form
    406,989/561,644.82 = 228,141/x
  3. Step 3: Cross multiply
    406,989x = 561,644.82 × 228,141
  4. Step 4: Simplify right side
    406,989x = 128,134,210,879.62
  5. Step 5: Solve for x
    x = 128,134,210,879.62/406,989
  6. Step 6: Final answer
    x = 314,834.58

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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.