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Finding the Fourth Proportional to 489,339, 734,114.10 and 152,372.76

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Solution

The fourth proportional to 489,339, 734,114.10 and 152,372.76 is: 228,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,339 : 734,114.10 = 152,372.76 : x
  2. Step 2: Convert to fraction form
    489,339/734,114.10 = 152,372.76/x
  3. Step 3: Cross multiply
    489,339x = 734,114.10 × 152,372.76
  4. Step 4: Simplify right side
    489,339x = 111,858,991,571.92
  5. Step 5: Solve for x
    x = 111,858,991,571.92/489,339
  6. Step 6: Final answer
    x = 228,592.02

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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.