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Finding the Fourth Proportional to 398,717.58, 597,973.68 and 118,169.22

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Solution

The fourth proportional to 398,717.58, 597,973.68 and 118,169.22 is: 177,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,717.58 : 597,973.68 = 118,169.22 : x
  2. Step 2: Convert to fraction form
    398,717.58/597,973.68 = 118,169.22/x
  3. Step 3: Cross multiply
    398,717.58x = 597,973.68 × 118,169.22
  4. Step 4: Simplify right side
    398,717.58x = 70,662,083,346.13
  5. Step 5: Solve for x
    x = 70,662,083,346.13/398,717.58
  6. Step 6: Final answer
    x = 177,223.40

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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.