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Finding the Fourth Proportional to 455,687.42, 682,889.30 and 348,657

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Solution

The fourth proportional to 455,687.42, 682,889.30 and 348,657 is: 522,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,687.42 : 682,889.30 = 348,657 : x
  2. Step 2: Convert to fraction form
    455,687.42/682,889.30 = 348,657/x
  3. Step 3: Cross multiply
    455,687.42x = 682,889.30 × 348,657
  4. Step 4: Simplify right side
    455,687.42x = 238,094,132,926.82
  5. Step 5: Solve for x
    x = 238,094,132,926.82/455,687.42
  6. Step 6: Final answer
    x = 522,494.42

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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.