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Finding the Fourth Proportional to 286,167.78, 394,916.45 and 157,118.24

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Solution

The fourth proportional to 286,167.78, 394,916.45 and 157,118.24 is: 216,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,167.78 : 394,916.45 = 157,118.24 : x
  2. Step 2: Convert to fraction form
    286,167.78/394,916.45 = 157,118.24/x
  3. Step 3: Cross multiply
    286,167.78x = 394,916.45 × 157,118.24
  4. Step 4: Simplify right side
    286,167.78x = 62,048,577,772.75
  5. Step 5: Solve for x
    x = 62,048,577,772.75/286,167.78
  6. Step 6: Final answer
    x = 216,825.87

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1.5x scale

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.