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Finding the Fourth Proportional to 568,329.48, 784,282.70 and 310,197.87

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Solution

The fourth proportional to 568,329.48, 784,282.70 and 310,197.87 is: 428,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,329.48 : 784,282.70 = 310,197.87 : x
  2. Step 2: Convert to fraction form
    568,329.48/784,282.70 = 310,197.87/x
  3. Step 3: Cross multiply
    568,329.48x = 784,282.70 × 310,197.87
  4. Step 4: Simplify right side
    568,329.48x = 243,282,823,793.34
  5. Step 5: Solve for x
    x = 243,282,823,793.34/568,329.48
  6. Step 6: Final answer
    x = 428,066.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.