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Finding the Fourth Proportional to 402,564.54, 555,527.79 and 221,276.82

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Solution

The fourth proportional to 402,564.54, 555,527.79 and 221,276.82 is: 305,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,564.54 : 555,527.79 = 221,276.82 : x
  2. Step 2: Convert to fraction form
    402,564.54/555,527.79 = 221,276.82/x
  3. Step 3: Cross multiply
    402,564.54x = 555,527.79 × 221,276.82
  4. Step 4: Simplify right side
    402,564.54x = 122,925,422,792.83
  5. Step 5: Solve for x
    x = 122,925,422,792.83/402,564.54
  6. Step 6: Final answer
    x = 305,355.81

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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.