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Finding the Fourth Proportional to 749,174, 1,123,762.08 and 305,942

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Solution

The fourth proportional to 749,174, 1,123,762.08 and 305,942 is: 458,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,174 : 1,123,762.08 = 305,942 : x
  2. Step 2: Convert to fraction form
    749,174/1,123,762.08 = 305,942/x
  3. Step 3: Cross multiply
    749,174x = 1,123,762.08 × 305,942
  4. Step 4: Simplify right side
    749,174x = 343,806,018,279.36
  5. Step 5: Solve for x
    x = 343,806,018,279.36/749,174
  6. Step 6: Final answer
    x = 458,913.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.