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Finding the Fourth Proportional to 543,031.11, 749,382.90 and 301,352.57

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Solution

The fourth proportional to 543,031.11, 749,382.90 and 301,352.57 is: 415,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,031.11 : 749,382.90 = 301,352.57 : x
  2. Step 2: Convert to fraction form
    543,031.11/749,382.90 = 301,352.57/x
  3. Step 3: Cross multiply
    543,031.11x = 749,382.90 × 301,352.57
  4. Step 4: Simplify right side
    543,031.11x = 225,828,459,082.14
  5. Step 5: Solve for x
    x = 225,828,459,082.14/543,031.11
  6. Step 6: Final answer
    x = 415,866.52

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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.