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Finding the Fourth Proportional to 457,384.48, 686,014.44 and 120,396.91

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Solution

The fourth proportional to 457,384.48, 686,014.44 and 120,396.91 is: 180,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,384.48 : 686,014.44 = 120,396.91 : x
  2. Step 2: Convert to fraction form
    457,384.48/686,014.44 = 120,396.91/x
  3. Step 3: Cross multiply
    457,384.48x = 686,014.44 × 120,396.91
  4. Step 4: Simplify right side
    457,384.48x = 82,594,018,791.38
  5. Step 5: Solve for x
    x = 82,594,018,791.38/457,384.48
  6. Step 6: Final answer
    x = 180,578.97

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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.