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Finding the Fourth Proportional to 402,012.06, 554,777.43 and 223,164.06

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Solution

The fourth proportional to 402,012.06, 554,777.43 and 223,164.06 is: 307,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,012.06 : 554,777.43 = 223,164.06 : x
  2. Step 2: Convert to fraction form
    402,012.06/554,777.43 = 223,164.06/x
  3. Step 3: Cross multiply
    402,012.06x = 554,777.43 × 223,164.06
  4. Step 4: Simplify right side
    402,012.06x = 123,806,383,675.17
  5. Step 5: Solve for x
    x = 123,806,383,675.17/402,012.06
  6. Step 6: Final answer
    x = 307,966.84

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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.