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Finding the Fourth Proportional to 253,394.92, 349,688.10 and 140,228.20

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Solution

The fourth proportional to 253,394.92, 349,688.10 and 140,228.20 is: 193,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,394.92 : 349,688.10 = 140,228.20 : x
  2. Step 2: Convert to fraction form
    253,394.92/349,688.10 = 140,228.20/x
  3. Step 3: Cross multiply
    253,394.92x = 349,688.10 × 140,228.20
  4. Step 4: Simplify right side
    253,394.92x = 49,036,132,824.42
  5. Step 5: Solve for x
    x = 49,036,132,824.42/253,394.92
  6. Step 6: Final answer
    x = 193,516.64

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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.