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Finding the Fourth Proportional to 388,120.74, 535,429.62 and 280,520.34

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Solution

The fourth proportional to 388,120.74, 535,429.62 and 280,520.34 is: 386,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,120.74 : 535,429.62 = 280,520.34 : x
  2. Step 2: Convert to fraction form
    388,120.74/535,429.62 = 280,520.34/x
  3. Step 3: Cross multiply
    388,120.74x = 535,429.62 × 280,520.34
  4. Step 4: Simplify right side
    388,120.74x = 150,198,899,048.47
  5. Step 5: Solve for x
    x = 150,198,899,048.47/388,120.74
  6. Step 6: Final answer
    x = 386,990.14

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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.