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Finding the Fourth Proportional to 543,208.50, 749,662.76 and 301,491.09

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Solution

The fourth proportional to 543,208.50, 749,662.76 and 301,491.09 is: 416,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,208.50 : 749,662.76 = 301,491.09 : x
  2. Step 2: Convert to fraction form
    543,208.50/749,662.76 = 301,491.09/x
  3. Step 3: Cross multiply
    543,208.50x = 749,662.76 × 301,491.09
  4. Step 4: Simplify right side
    543,208.50x = 226,016,637,389.04
  5. Step 5: Solve for x
    x = 226,016,637,389.04/543,208.50
  6. Step 6: Final answer
    x = 416,077.14

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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.