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Finding the Fourth Proportional to 568,307.64, 784,262.92 and 313,657

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Solution

The fourth proportional to 568,307.64, 784,262.92 and 313,657 is: 432,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,307.64 : 784,262.92 = 313,657 : x
  2. Step 2: Convert to fraction form
    568,307.64/784,262.92 = 313,657/x
  3. Step 3: Cross multiply
    568,307.64x = 784,262.92 × 313,657
  4. Step 4: Simplify right side
    568,307.64x = 245,989,554,698.44
  5. Step 5: Solve for x
    x = 245,989,554,698.44/568,307.64
  6. Step 6: Final answer
    x = 432,845.76

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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.