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Finding the Fourth Proportional to 388,103.49, 535,405.82 and 280,503.09

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Solution

The fourth proportional to 388,103.49, 535,405.82 and 280,503.09 is: 386,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,103.49 : 535,405.82 = 280,503.09 : x
  2. Step 2: Convert to fraction form
    388,103.49/535,405.82 = 280,503.09/x
  3. Step 3: Cross multiply
    388,103.49x = 535,405.82 × 280,503.09
  4. Step 4: Simplify right side
    388,103.49x = 150,182,985,511.47
  5. Step 5: Solve for x
    x = 150,182,985,511.47/388,103.49
  6. Step 6: Final answer
    x = 386,966.34

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1.5x scale

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.