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Finding the Fourth Proportional to 288,905.64, 398,700.69 and 158,092.10

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Solution

The fourth proportional to 288,905.64, 398,700.69 and 158,092.10 is: 218,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,905.64 : 398,700.69 = 158,092.10 : x
  2. Step 2: Convert to fraction form
    288,905.64/398,700.69 = 158,092.10/x
  3. Step 3: Cross multiply
    288,905.64x = 398,700.69 × 158,092.10
  4. Step 4: Simplify right side
    288,905.64x = 63,031,427,360.05
  5. Step 5: Solve for x
    x = 63,031,427,360.05/288,905.64
  6. Step 6: Final answer
    x = 218,173.06

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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.