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Finding the Fourth Proportional to 854,171, 1,282,029.24 and 455,148.80

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Solution

The fourth proportional to 854,171, 1,282,029.24 and 455,148.80 is: 683,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,171 : 1,282,029.24 = 455,148.80 : x
  2. Step 2: Convert to fraction form
    854,171/1,282,029.24 = 455,148.80/x
  3. Step 3: Cross multiply
    854,171x = 1,282,029.24 × 455,148.80
  4. Step 4: Simplify right side
    854,171x = 583,514,070,150.91
  5. Step 5: Solve for x
    x = 583,514,070,150.91/854,171
  6. Step 6: Final answer
    x = 683,134.96

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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.