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Finding the Fourth Proportional to 523,310.80, 784,966.20 and 313,358.80

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Solution

The fourth proportional to 523,310.80, 784,966.20 and 313,358.80 is: 470,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,310.80 : 784,966.20 = 313,358.80 : x
  2. Step 2: Convert to fraction form
    523,310.80/784,966.20 = 313,358.80/x
  3. Step 3: Cross multiply
    523,310.80x = 784,966.20 × 313,358.80
  4. Step 4: Simplify right side
    523,310.80x = 245,976,066,472.56
  5. Step 5: Solve for x
    x = 245,976,066,472.56/523,310.80
  6. Step 6: Final answer
    x = 470,038.20

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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.