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Finding the Fourth Proportional to 517,484.20, 714,109.62 and 288,033.88

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Solution

The fourth proportional to 517,484.20, 714,109.62 and 288,033.88 is: 397,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,484.20 : 714,109.62 = 288,033.88 : x
  2. Step 2: Convert to fraction form
    517,484.20/714,109.62 = 288,033.88/x
  3. Step 3: Cross multiply
    517,484.20x = 714,109.62 × 288,033.88
  4. Step 4: Simplify right side
    517,484.20x = 205,687,764,593.93
  5. Step 5: Solve for x
    x = 205,687,764,593.93/517,484.20
  6. Step 6: Final answer
    x = 397,476.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.