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Finding the Fourth Proportional to 402,725.14, 555,746.46 and 221,435.80

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Solution

The fourth proportional to 402,725.14, 555,746.46 and 221,435.80 is: 305,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,725.14 : 555,746.46 = 221,435.80 : x
  2. Step 2: Convert to fraction form
    402,725.14/555,746.46 = 221,435.80/x
  3. Step 3: Cross multiply
    402,725.14x = 555,746.46 × 221,435.80
  4. Step 4: Simplify right side
    402,725.14x = 123,062,161,967.27
  5. Step 5: Solve for x
    x = 123,062,161,967.27/402,725.14
  6. Step 6: Final answer
    x = 305,573.58

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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.