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Finding the Fourth Proportional to 568,448.64, 784,459.26 and 313,800

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Solution

The fourth proportional to 568,448.64, 784,459.26 and 313,800 is: 433,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,448.64 : 784,459.26 = 313,800 : x
  2. Step 2: Convert to fraction form
    568,448.64/784,459.26 = 313,800/x
  3. Step 3: Cross multiply
    568,448.64x = 784,459.26 × 313,800
  4. Step 4: Simplify right side
    568,448.64x = 246,163,315,788
  5. Step 5: Solve for x
    x = 246,163,315,788/568,448.64
  6. Step 6: Final answer
    x = 433,044.08

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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.