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Finding the Fourth Proportional to 402,802.09, 555,881.16 and 221,528.04

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Solution

The fourth proportional to 402,802.09, 555,881.16 and 221,528.04 is: 305,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,802.09 : 555,881.16 = 221,528.04 : x
  2. Step 2: Convert to fraction form
    402,802.09/555,881.16 = 221,528.04/x
  3. Step 3: Cross multiply
    402,802.09x = 555,881.16 × 221,528.04
  4. Step 4: Simplify right side
    402,802.09x = 123,143,263,847.73
  5. Step 5: Solve for x
    x = 123,143,263,847.73/402,802.09
  6. Step 6: Final answer
    x = 305,716.55

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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.