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Finding the Fourth Proportional to 317,643.30, 476,458.79 and 128,099.41

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Solution

The fourth proportional to 317,643.30, 476,458.79 and 128,099.41 is: 192,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,643.30 : 476,458.79 = 128,099.41 : x
  2. Step 2: Convert to fraction form
    317,643.30/476,458.79 = 128,099.41/x
  3. Step 3: Cross multiply
    317,643.30x = 476,458.79 × 128,099.41
  4. Step 4: Simplify right side
    317,643.30x = 61,034,088,056.67
  5. Step 5: Solve for x
    x = 61,034,088,056.67/317,643.30
  6. Step 6: Final answer
    x = 192,146.63

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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.