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Finding the Fourth Proportional to 568,428.86, 784,437.30 and 313,774.58

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Solution

The fourth proportional to 568,428.86, 784,437.30 and 313,774.58 is: 433,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,428.86 : 784,437.30 = 313,774.58 : x
  2. Step 2: Convert to fraction form
    568,428.86/784,437.30 = 313,774.58/x
  3. Step 3: Cross multiply
    568,428.86x = 784,437.30 × 313,774.58
  4. Step 4: Simplify right side
    568,428.86x = 246,136,484,343.83
  5. Step 5: Solve for x
    x = 246,136,484,343.83/568,428.86
  6. Step 6: Final answer
    x = 433,011.94

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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.