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Finding the Fourth Proportional to 291,661.07, 437,966.25 and 180,050.78

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Solution

The fourth proportional to 291,661.07, 437,966.25 and 180,050.78 is: 270,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,661.07 : 437,966.25 = 180,050.78 : x
  2. Step 2: Convert to fraction form
    291,661.07/437,966.25 = 180,050.78/x
  3. Step 3: Cross multiply
    291,661.07x = 437,966.25 × 180,050.78
  4. Step 4: Simplify right side
    291,661.07x = 78,856,162,736.34
  5. Step 5: Solve for x
    x = 78,856,162,736.34/291,661.07
  6. Step 6: Final answer
    x = 270,369.18

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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.