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Finding the Fourth Proportional to 516,468.66, 774,747.66 and 142,491.66

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Solution

The fourth proportional to 516,468.66, 774,747.66 and 142,491.66 is: 213,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,468.66 : 774,747.66 = 142,491.66 : x
  2. Step 2: Convert to fraction form
    516,468.66/774,747.66 = 142,491.66/x
  3. Step 3: Cross multiply
    516,468.66x = 774,747.66 × 142,491.66
  4. Step 4: Simplify right side
    516,468.66x = 110,395,080,154.52
  5. Step 5: Solve for x
    x = 110,395,080,154.52/516,468.66
  6. Step 6: Final answer
    x = 213,749.81

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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.