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Finding the Fourth Proportional to 403,005.71, 556,147.87 and 221,713.76

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Solution

The fourth proportional to 403,005.71, 556,147.87 and 221,713.76 is: 305,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,005.71 : 556,147.87 = 221,713.76 : x
  2. Step 2: Convert to fraction form
    403,005.71/556,147.87 = 221,713.76/x
  3. Step 3: Cross multiply
    403,005.71x = 556,147.87 × 221,713.76
  4. Step 4: Simplify right side
    403,005.71x = 123,305,635,373.69
  5. Step 5: Solve for x
    x = 123,305,635,373.69/403,005.71
  6. Step 6: Final answer
    x = 305,964.98

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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.