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Finding the Fourth Proportional to 300,762.47, 451,849.14 and 283,739.45

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Solution

The fourth proportional to 300,762.47, 451,849.14 and 283,739.45 is: 426,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,762.47 : 451,849.14 = 283,739.45 : x
  2. Step 2: Convert to fraction form
    300,762.47/451,849.14 = 283,739.45/x
  3. Step 3: Cross multiply
    300,762.47x = 451,849.14 × 283,739.45
  4. Step 4: Simplify right side
    300,762.47x = 128,207,424,207.33
  5. Step 5: Solve for x
    x = 128,207,424,207.33/300,762.47
  6. Step 6: Final answer
    x = 426,274.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.