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Finding the Fourth Proportional to 543,216.95, 749,578.60 and 301,509.71

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Solution

The fourth proportional to 543,216.95, 749,578.60 and 301,509.71 is: 416,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,216.95 : 749,578.60 = 301,509.71 : x
  2. Step 2: Convert to fraction form
    543,216.95/749,578.60 = 301,509.71/x
  3. Step 3: Cross multiply
    543,216.95x = 749,578.60 × 301,509.71
  4. Step 4: Simplify right side
    543,216.95x = 226,005,229,116.50
  5. Step 5: Solve for x
    x = 226,005,229,116.50/543,216.95
  6. Step 6: Final answer
    x = 416,049.66

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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.