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Finding the Fourth Proportional to 406,946, 561,585.48 and 228,098

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Solution

The fourth proportional to 406,946, 561,585.48 and 228,098 is: 314,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,946 : 561,585.48 = 228,098 : x
  2. Step 2: Convert to fraction form
    406,946/561,585.48 = 228,098/x
  3. Step 3: Cross multiply
    406,946x = 561,585.48 × 228,098
  4. Step 4: Simplify right side
    406,946x = 128,096,524,817.04
  5. Step 5: Solve for x
    x = 128,096,524,817.04/406,946
  6. Step 6: Final answer
    x = 314,775.24

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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.