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Finding the Fourth Proportional to 543,107.49, 749,476.98 and 301,388.10

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Solution

The fourth proportional to 543,107.49, 749,476.98 and 301,388.10 is: 415,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,107.49 : 749,476.98 = 301,388.10 : x
  2. Step 2: Convert to fraction form
    543,107.49/749,476.98 = 301,388.10/x
  3. Step 3: Cross multiply
    543,107.49x = 749,476.98 × 301,388.10
  4. Step 4: Simplify right side
    543,107.49x = 225,883,442,995.94
  5. Step 5: Solve for x
    x = 225,883,442,995.94/543,107.49
  6. Step 6: Final answer
    x = 415,909.28

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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.