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Finding the Fourth Proportional to 291,907.80, 437,861.70 and 159,047.55

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Solution

The fourth proportional to 291,907.80, 437,861.70 and 159,047.55 is: 238,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,907.80 : 437,861.70 = 159,047.55 : x
  2. Step 2: Convert to fraction form
    291,907.80/437,861.70 = 159,047.55/x
  3. Step 3: Cross multiply
    291,907.80x = 437,861.70 × 159,047.55
  4. Step 4: Simplify right side
    291,907.80x = 69,640,830,623.84
  5. Step 5: Solve for x
    x = 69,640,830,623.84/291,907.80
  6. Step 6: Final answer
    x = 238,571.33

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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.