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Finding the Fourth Proportional to 305,673.12, 457,913.16 and 200,172.24

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Solution

The fourth proportional to 305,673.12, 457,913.16 and 200,172.24 is: 299,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,673.12 : 457,913.16 = 200,172.24 : x
  2. Step 2: Convert to fraction form
    305,673.12/457,913.16 = 200,172.24/x
  3. Step 3: Cross multiply
    305,673.12x = 457,913.16 × 200,172.24
  4. Step 4: Simplify right side
    305,673.12x = 91,661,502,962.68
  5. Step 5: Solve for x
    x = 91,661,502,962.68/305,673.12
  6. Step 6: Final answer
    x = 299,867.72

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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.