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Finding the Fourth Proportional to 319,138.76, 478,790.16 and 119,462.02

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Solution

The fourth proportional to 319,138.76, 478,790.16 and 119,462.02 is: 179,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,138.76 : 478,790.16 = 119,462.02 : x
  2. Step 2: Convert to fraction form
    319,138.76/478,790.16 = 119,462.02/x
  3. Step 3: Cross multiply
    319,138.76x = 478,790.16 × 119,462.02
  4. Step 4: Simplify right side
    319,138.76x = 57,197,239,669.72
  5. Step 5: Solve for x
    x = 57,197,239,669.72/319,138.76
  6. Step 6: Final answer
    x = 179,223.73

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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.