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Finding the Fourth Proportional to 402,998.62, 556,138.09 and 221,706.66

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Solution

The fourth proportional to 402,998.62, 556,138.09 and 221,706.66 is: 305,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,998.62 : 556,138.09 = 221,706.66 : x
  2. Step 2: Convert to fraction form
    402,998.62/556,138.09 = 221,706.66/x
  3. Step 3: Cross multiply
    402,998.62x = 556,138.09 × 221,706.66
  4. Step 4: Simplify right side
    402,998.62x = 123,299,516,726.47
  5. Step 5: Solve for x
    x = 123,299,516,726.47/402,998.62
  6. Step 6: Final answer
    x = 305,955.18

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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.