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Finding the Fourth Proportional to 305,655.69, 457,887.11 and 200,154.81

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Solution

The fourth proportional to 305,655.69, 457,887.11 and 200,154.81 is: 299,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,655.69 : 457,887.11 = 200,154.81 : x
  2. Step 2: Convert to fraction form
    305,655.69/457,887.11 = 200,154.81/x
  3. Step 3: Cross multiply
    305,655.69x = 457,887.11 × 200,154.81
  4. Step 4: Simplify right side
    305,655.69x = 91,648,308,147.83
  5. Step 5: Solve for x
    x = 91,648,308,147.83/305,655.69
  6. Step 6: Final answer
    x = 299,841.65

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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.