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Finding the Fourth Proportional to 406,422, 560,862.36 and 227,574

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Solution

The fourth proportional to 406,422, 560,862.36 and 227,574 is: 314,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,422 : 560,862.36 = 227,574 : x
  2. Step 2: Convert to fraction form
    406,422/560,862.36 = 227,574/x
  3. Step 3: Cross multiply
    406,422x = 560,862.36 × 227,574
  4. Step 4: Simplify right side
    406,422x = 127,637,690,714.64
  5. Step 5: Solve for x
    x = 127,637,690,714.64/406,422
  6. Step 6: Final answer
    x = 314,052.12

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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.