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Finding the Fourth Proportional to 291,346.47, 437,428.58 and 149,293.81

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Solution

The fourth proportional to 291,346.47, 437,428.58 and 149,293.81 is: 224,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,346.47 : 437,428.58 = 149,293.81 : x
  2. Step 2: Convert to fraction form
    291,346.47/437,428.58 = 149,293.81/x
  3. Step 3: Cross multiply
    291,346.47x = 437,428.58 × 149,293.81
  4. Step 4: Simplify right side
    291,346.47x = 65,305,379,311.09
  5. Step 5: Solve for x
    x = 65,305,379,311.09/291,346.47
  6. Step 6: Final answer
    x = 224,150.24

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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.