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Finding the Fourth Proportional to 568,405.98, 784,400.94 and 313,757.16

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Solution

The fourth proportional to 568,405.98, 784,400.94 and 313,757.16 is: 432,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,405.98 : 784,400.94 = 313,757.16 : x
  2. Step 2: Convert to fraction form
    568,405.98/784,400.94 = 313,757.16/x
  3. Step 3: Cross multiply
    568,405.98x = 784,400.94 × 313,757.16
  4. Step 4: Simplify right side
    568,405.98x = 246,111,411,235.73
  5. Step 5: Solve for x
    x = 246,111,411,235.73/568,405.98
  6. Step 6: Final answer
    x = 432,985.26

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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.