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Finding the Fourth Proportional to 398,686.68, 597,928.12 and 118,138.32

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Solution

The fourth proportional to 398,686.68, 597,928.12 and 118,138.32 is: 177,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,686.68 : 597,928.12 = 118,138.32 : x
  2. Step 2: Convert to fraction form
    398,686.68/597,928.12 = 118,138.32/x
  3. Step 3: Cross multiply
    398,686.68x = 597,928.12 × 118,138.32
  4. Step 4: Simplify right side
    398,686.68x = 70,638,223,577.56
  5. Step 5: Solve for x
    x = 70,638,223,577.56/398,686.68
  6. Step 6: Final answer
    x = 177,177.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.