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Finding the Fourth Proportional to 253,855.86, 350,321.10 and 140,678.64

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Solution

The fourth proportional to 253,855.86, 350,321.10 and 140,678.64 is: 194,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,855.86 : 350,321.10 = 140,678.64 : x
  2. Step 2: Convert to fraction form
    253,855.86/350,321.10 = 140,678.64/x
  3. Step 3: Cross multiply
    253,855.86x = 350,321.10 × 140,678.64
  4. Step 4: Simplify right side
    253,855.86x = 49,282,695,911.30
  5. Step 5: Solve for x
    x = 49,282,695,911.30/253,855.86
  6. Step 6: Final answer
    x = 194,136.53

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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.