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Finding the Fourth Proportional to 749,152, 1,123,729.08 and 305,920

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Solution

The fourth proportional to 749,152, 1,123,729.08 and 305,920 is: 458,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,152 : 1,123,729.08 = 305,920 : x
  2. Step 2: Convert to fraction form
    749,152/1,123,729.08 = 305,920/x
  3. Step 3: Cross multiply
    749,152x = 1,123,729.08 × 305,920
  4. Step 4: Simplify right side
    749,152x = 343,771,200,153.60
  5. Step 5: Solve for x
    x = 343,771,200,153.60/749,152
  6. Step 6: Final answer
    x = 458,880.44

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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.