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Finding the Fourth Proportional to 551,002.20, 825,482.70 and 313,639.80

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Solution

The fourth proportional to 551,002.20, 825,482.70 and 313,639.80 is: 469,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,002.20 : 825,482.70 = 313,639.80 : x
  2. Step 2: Convert to fraction form
    551,002.20/825,482.70 = 313,639.80/x
  3. Step 3: Cross multiply
    551,002.20x = 825,482.70 × 313,639.80
  4. Step 4: Simplify right side
    551,002.20x = 258,904,228,931.46
  5. Step 5: Solve for x
    x = 258,904,228,931.46/551,002.20
  6. Step 6: Final answer
    x = 469,878.76

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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.