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Finding the Fourth Proportional to 338,904, 508,434.12 and 117,288

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Solution

The fourth proportional to 338,904, 508,434.12 and 117,288 is: 175,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,904 : 508,434.12 = 117,288 : x
  2. Step 2: Convert to fraction form
    338,904/508,434.12 = 117,288/x
  3. Step 3: Cross multiply
    338,904x = 508,434.12 × 117,288
  4. Step 4: Simplify right side
    338,904x = 59,633,221,066.56
  5. Step 5: Solve for x
    x = 59,633,221,066.56/338,904
  6. Step 6: Final answer
    x = 175,959.04

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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.