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Finding the Fourth Proportional to 328,149.77, 492,014.46 and 138,558.74

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Solution

The fourth proportional to 328,149.77, 492,014.46 and 138,558.74 is: 207,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,149.77 : 492,014.46 = 138,558.74 : x
  2. Step 2: Convert to fraction form
    328,149.77/492,014.46 = 138,558.74/x
  3. Step 3: Cross multiply
    328,149.77x = 492,014.46 × 138,558.74
  4. Step 4: Simplify right side
    328,149.77x = 68,172,903,639.38
  5. Step 5: Solve for x
    x = 68,172,903,639.38/328,149.77
  6. Step 6: Final answer
    x = 207,749.36

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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.