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Finding the Fourth Proportional to 523,252.20, 784,878.30 and 312,781.80

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Solution

The fourth proportional to 523,252.20, 784,878.30 and 312,781.80 is: 469,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,252.20 : 784,878.30 = 312,781.80 : x
  2. Step 2: Convert to fraction form
    523,252.20/784,878.30 = 312,781.80/x
  3. Step 3: Cross multiply
    523,252.20x = 784,878.30 × 312,781.80
  4. Step 4: Simplify right side
    523,252.20x = 245,495,647,454.94
  5. Step 5: Solve for x
    x = 245,495,647,454.94/523,252.20
  6. Step 6: Final answer
    x = 469,172.70

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1.5x scale

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.