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Finding the Fourth Proportional to 406,945, 561,584.10 and 228,097

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Solution

The fourth proportional to 406,945, 561,584.10 and 228,097 is: 314,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,945 : 561,584.10 = 228,097 : x
  2. Step 2: Convert to fraction form
    406,945/561,584.10 = 228,097/x
  3. Step 3: Cross multiply
    406,945x = 561,584.10 × 228,097
  4. Step 4: Simplify right side
    406,945x = 128,095,648,457.70
  5. Step 5: Solve for x
    x = 128,095,648,457.70/406,945
  6. Step 6: Final answer
    x = 314,773.86

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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.