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Finding the Fourth Proportional to 200,564, 300,846 and 60,322.80

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Solution

The fourth proportional to 200,564, 300,846 and 60,322.80 is: 90,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564 : 300,846 = 60,322.80 : x
  2. Step 2: Convert to fraction form
    200,564/300,846 = 60,322.80/x
  3. Step 3: Cross multiply
    200,564x = 300,846 × 60,322.80
  4. Step 4: Simplify right side
    200,564x = 18,147,873,088.80
  5. Step 5: Solve for x
    x = 18,147,873,088.80/200,564
  6. Step 6: Final answer
    x = 90,484.20

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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.