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Finding the Fourth Proportional to 515,053.84, 772,797.84 and 199,732.72

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Solution

The fourth proportional to 515,053.84, 772,797.84 and 199,732.72 is: 299,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,053.84 : 772,797.84 = 199,732.72 : x
  2. Step 2: Convert to fraction form
    515,053.84/772,797.84 = 199,732.72/x
  3. Step 3: Cross multiply
    515,053.84x = 772,797.84 × 199,732.72
  4. Step 4: Simplify right side
    515,053.84x = 154,353,014,593.33
  5. Step 5: Solve for x
    x = 154,353,014,593.33/515,053.84
  6. Step 6: Final answer
    x = 299,683.26

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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.