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Finding the Fourth Proportional to 382,036.96, 527,372.64 and 257,885.02

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Solution

The fourth proportional to 382,036.96, 527,372.64 and 257,885.02 is: 355,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,036.96 : 527,372.64 = 257,885.02 : x
  2. Step 2: Convert to fraction form
    382,036.96/527,372.64 = 257,885.02/x
  3. Step 3: Cross multiply
    382,036.96x = 527,372.64 × 257,885.02
  4. Step 4: Simplify right side
    382,036.96x = 136,001,503,813.85
  5. Step 5: Solve for x
    x = 136,001,503,813.85/382,036.96
  6. Step 6: Final answer
    x = 355,990.44

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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.