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Finding the Fourth Proportional to 377,894.46, 521,531.22 and 282,235.08

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Solution

The fourth proportional to 377,894.46, 521,531.22 and 282,235.08 is: 389,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,894.46 : 521,531.22 = 282,235.08 : x
  2. Step 2: Convert to fraction form
    377,894.46/521,531.22 = 282,235.08/x
  3. Step 3: Cross multiply
    377,894.46x = 521,531.22 × 282,235.08
  4. Step 4: Simplify right side
    377,894.46x = 147,194,405,599.20
  5. Step 5: Solve for x
    x = 147,194,405,599.20/377,894.46
  6. Step 6: Final answer
    x = 389,511.94

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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.