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Finding the Fourth Proportional to 257,882.72, 386,697.28 and 151,473.84

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Solution

The fourth proportional to 257,882.72, 386,697.28 and 151,473.84 is: 227,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,882.72 : 386,697.28 = 151,473.84 : x
  2. Step 2: Convert to fraction form
    257,882.72/386,697.28 = 151,473.84/x
  3. Step 3: Cross multiply
    257,882.72x = 386,697.28 × 151,473.84
  4. Step 4: Simplify right side
    257,882.72x = 58,574,521,919.16
  5. Step 5: Solve for x
    x = 58,574,521,919.16/257,882.72
  6. Step 6: Final answer
    x = 227,136.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.