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Finding the Fourth Proportional to 299,686.23, 413,560.08 and 163,720.64

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Solution

The fourth proportional to 299,686.23, 413,560.08 and 163,720.64 is: 225,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,686.23 : 413,560.08 = 163,720.64 : x
  2. Step 2: Convert to fraction form
    299,686.23/413,560.08 = 163,720.64/x
  3. Step 3: Cross multiply
    299,686.23x = 413,560.08 × 163,720.64
  4. Step 4: Simplify right side
    299,686.23x = 67,708,322,009.95
  5. Step 5: Solve for x
    x = 67,708,322,009.95/299,686.23
  6. Step 6: Final answer
    x = 225,930.71

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1.5x scale

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.