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Finding the Fourth Proportional to 568,302.64, 784,253.78 and 313,653.82

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Solution

The fourth proportional to 568,302.64, 784,253.78 and 313,653.82 is: 432,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,302.64 : 784,253.78 = 313,653.82 : x
  2. Step 2: Convert to fraction form
    568,302.64/784,253.78 = 313,653.82/x
  3. Step 3: Cross multiply
    568,302.64x = 784,253.78 × 313,653.82
  4. Step 4: Simplify right side
    568,302.64x = 245,984,193,946.44
  5. Step 5: Solve for x
    x = 245,984,193,946.44/568,302.64
  6. Step 6: Final answer
    x = 432,840.14

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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.