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Finding the Fourth Proportional to 476,836.20, 715,254.30 and 399,853.80

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Solution

The fourth proportional to 476,836.20, 715,254.30 and 399,853.80 is: 599,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,836.20 : 715,254.30 = 399,853.80 : x
  2. Step 2: Convert to fraction form
    476,836.20/715,254.30 = 399,853.80/x
  3. Step 3: Cross multiply
    476,836.20x = 715,254.30 × 399,853.80
  4. Step 4: Simplify right side
    476,836.20x = 285,997,149,821.34
  5. Step 5: Solve for x
    x = 285,997,149,821.34/476,836.20
  6. Step 6: Final answer
    x = 599,780.70

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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.