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Finding the Fourth Proportional to 406,526, 561,005.88 and 227,678

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Solution

The fourth proportional to 406,526, 561,005.88 and 227,678 is: 314,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,526 : 561,005.88 = 227,678 : x
  2. Step 2: Convert to fraction form
    406,526/561,005.88 = 227,678/x
  3. Step 3: Cross multiply
    406,526x = 561,005.88 × 227,678
  4. Step 4: Simplify right side
    406,526x = 127,728,696,746.64
  5. Step 5: Solve for x
    x = 127,728,696,746.64/406,526
  6. Step 6: Final answer
    x = 314,195.64

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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.