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Finding the Fourth Proportional to 309,658.59, 427,171.32 and 202,291.47

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Solution

The fourth proportional to 309,658.59, 427,171.32 and 202,291.47 is: 279,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,658.59 : 427,171.32 = 202,291.47 : x
  2. Step 2: Convert to fraction form
    309,658.59/427,171.32 = 202,291.47/x
  3. Step 3: Cross multiply
    309,658.59x = 427,171.32 × 202,291.47
  4. Step 4: Simplify right side
    309,658.59x = 86,413,114,264.64
  5. Step 5: Solve for x
    x = 86,413,114,264.64/309,658.59
  6. Step 6: Final answer
    x = 279,059.32

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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.