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Finding the Fourth Proportional to 406,990, 561,646.20 and 228,142

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Solution

The fourth proportional to 406,990, 561,646.20 and 228,142 is: 314,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,990 : 561,646.20 = 228,142 : x
  2. Step 2: Convert to fraction form
    406,990/561,646.20 = 228,142/x
  3. Step 3: Cross multiply
    406,990x = 561,646.20 × 228,142
  4. Step 4: Simplify right side
    406,990x = 128,135,087,360.40
  5. Step 5: Solve for x
    x = 128,135,087,360.40/406,990
  6. Step 6: Final answer
    x = 314,835.96

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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.