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Finding the Fourth Proportional to 493,280.85, 739,941.85 and 156,314.04

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Solution

The fourth proportional to 493,280.85, 739,941.85 and 156,314.04 is: 234,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,280.85 : 739,941.85 = 156,314.04 : x
  2. Step 2: Convert to fraction form
    493,280.85/739,941.85 = 156,314.04/x
  3. Step 3: Cross multiply
    493,280.85x = 739,941.85 × 156,314.04
  4. Step 4: Simplify right side
    493,280.85x = 115,663,300,133.97
  5. Step 5: Solve for x
    x = 115,663,300,133.97/493,280.85
  6. Step 6: Final answer
    x = 234,477.58

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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.