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Finding the Fourth Proportional to 203,292.28, 280,547.40 and 118,414.81

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Solution

The fourth proportional to 203,292.28, 280,547.40 and 118,414.81 is: 163,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,292.28 : 280,547.40 = 118,414.81 : x
  2. Step 2: Convert to fraction form
    203,292.28/280,547.40 = 118,414.81/x
  3. Step 3: Cross multiply
    203,292.28x = 280,547.40 × 118,414.81
  4. Step 4: Simplify right side
    203,292.28x = 33,220,967,195.65
  5. Step 5: Solve for x
    x = 33,220,967,195.65/203,292.28
  6. Step 6: Final answer
    x = 163,414.80

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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.