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Finding the Fourth Proportional to 393,890.88, 590,836.32 and 314,634

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Solution

The fourth proportional to 393,890.88, 590,836.32 and 314,634 is: 471,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,890.88 : 590,836.32 = 314,634 : x
  2. Step 2: Convert to fraction form
    393,890.88/590,836.32 = 314,634/x
  3. Step 3: Cross multiply
    393,890.88x = 590,836.32 × 314,634
  4. Step 4: Simplify right side
    393,890.88x = 185,897,194,706.88
  5. Step 5: Solve for x
    x = 185,897,194,706.88/393,890.88
  6. Step 6: Final answer
    x = 471,951.00

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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.