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Finding the Fourth Proportional to 265,088.46, 397,881.83 and 138,819.30

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Solution

The fourth proportional to 265,088.46, 397,881.83 and 138,819.30 is: 208,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,088.46 : 397,881.83 = 138,819.30 : x
  2. Step 2: Convert to fraction form
    265,088.46/397,881.83 = 138,819.30/x
  3. Step 3: Cross multiply
    265,088.46x = 397,881.83 × 138,819.30
  4. Step 4: Simplify right side
    265,088.46x = 55,233,677,123.32
  5. Step 5: Solve for x
    x = 55,233,677,123.32/265,088.46
  6. Step 6: Final answer
    x = 208,359.42

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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.