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Finding the Fourth Proportional to 402,718.16, 555,739.56 and 221,429.84

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Solution

The fourth proportional to 402,718.16, 555,739.56 and 221,429.84 is: 305,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,718.16 : 555,739.56 = 221,429.84 : x
  2. Step 2: Convert to fraction form
    402,718.16/555,739.56 = 221,429.84/x
  3. Step 3: Cross multiply
    402,718.16x = 555,739.56 × 221,429.84
  4. Step 4: Simplify right side
    402,718.16x = 123,057,321,852.47
  5. Step 5: Solve for x
    x = 123,057,321,852.47/402,718.16
  6. Step 6: Final answer
    x = 305,566.86

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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.