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Finding the Fourth Proportional to 543,005.74, 749,336.47 and 301,283.11

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Solution

The fourth proportional to 543,005.74, 749,336.47 and 301,283.11 is: 415,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,005.74 : 749,336.47 = 301,283.11 : x
  2. Step 2: Convert to fraction form
    543,005.74/749,336.47 = 301,283.11/x
  3. Step 3: Cross multiply
    543,005.74x = 749,336.47 × 301,283.11
  4. Step 4: Simplify right side
    543,005.74x = 225,762,422,118.02
  5. Step 5: Solve for x
    x = 225,762,422,118.02/543,005.74
  6. Step 6: Final answer
    x = 415,764.34

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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.