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Finding the Fourth Proportional to 291,908.18, 437,880.74 and 123,406.32

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Solution

The fourth proportional to 291,908.18, 437,880.74 and 123,406.32 is: 185,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,908.18 : 437,880.74 = 123,406.32 : x
  2. Step 2: Convert to fraction form
    291,908.18/437,880.74 = 123,406.32/x
  3. Step 3: Cross multiply
    291,908.18x = 437,880.74 × 123,406.32
  4. Step 4: Simplify right side
    291,908.18x = 54,037,251,747.30
  5. Step 5: Solve for x
    x = 54,037,251,747.30/291,908.18
  6. Step 6: Final answer
    x = 185,117.29

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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.