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Finding the Fourth Proportional to 402,705.36, 555,734.82 and 221,428.69

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Solution

The fourth proportional to 402,705.36, 555,734.82 and 221,428.69 is: 305,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,705.36 : 555,734.82 = 221,428.69 : x
  2. Step 2: Convert to fraction form
    402,705.36/555,734.82 = 221,428.69/x
  3. Step 3: Cross multiply
    402,705.36x = 555,734.82 × 221,428.69
  4. Step 4: Simplify right side
    402,705.36x = 123,055,631,790.65
  5. Step 5: Solve for x
    x = 123,055,631,790.65/402,705.36
  6. Step 6: Final answer
    x = 305,572.37

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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.