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Finding the Fourth Proportional to 319,212.74, 440,514.92 and 175,969.64

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Solution

The fourth proportional to 319,212.74, 440,514.92 and 175,969.64 is: 242,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,212.74 : 440,514.92 = 175,969.64 : x
  2. Step 2: Convert to fraction form
    319,212.74/440,514.92 = 175,969.64/x
  3. Step 3: Cross multiply
    319,212.74x = 440,514.92 × 175,969.64
  4. Step 4: Simplify right side
    319,212.74x = 77,517,251,887.03
  5. Step 5: Solve for x
    x = 77,517,251,887.03/319,212.74
  6. Step 6: Final answer
    x = 242,838.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.