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Finding the Fourth Proportional to 358,727.68, 538,167.42 and 118,828

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Solution

The fourth proportional to 358,727.68, 538,167.42 and 118,828 is: 178,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,727.68 : 538,167.42 = 118,828 : x
  2. Step 2: Convert to fraction form
    358,727.68/538,167.42 = 118,828/x
  3. Step 3: Cross multiply
    358,727.68x = 538,167.42 × 118,828
  4. Step 4: Simplify right side
    358,727.68x = 63,949,358,183.76
  5. Step 5: Solve for x
    x = 63,949,358,183.76/358,727.68
  6. Step 6: Final answer
    x = 178,267.14

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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.