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Finding the Fourth Proportional to 551,000.20, 825,479.70 and 313,637.80

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Solution

The fourth proportional to 551,000.20, 825,479.70 and 313,637.80 is: 469,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,000.20 : 825,479.70 = 313,637.80 : x
  2. Step 2: Convert to fraction form
    551,000.20/825,479.70 = 313,637.80/x
  3. Step 3: Cross multiply
    551,000.20x = 825,479.70 × 313,637.80
  4. Step 4: Simplify right side
    551,000.20x = 258,901,637,052.66
  5. Step 5: Solve for x
    x = 258,901,637,052.66/551,000.20
  6. Step 6: Final answer
    x = 469,875.76

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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.