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Finding the Fourth Proportional to 568,405.47, 784,400.25 and 313,756.66

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Solution

The fourth proportional to 568,405.47, 784,400.25 and 313,756.66 is: 432,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,405.47 : 784,400.25 = 313,756.66 : x
  2. Step 2: Convert to fraction form
    568,405.47/784,400.25 = 313,756.66/x
  3. Step 3: Cross multiply
    568,405.47x = 784,400.25 × 313,756.66
  4. Step 4: Simplify right side
    568,405.47x = 246,110,802,543.17
  5. Step 5: Solve for x
    x = 246,110,802,543.17/568,405.47
  6. Step 6: Final answer
    x = 432,984.58

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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.