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Finding the Fourth Proportional to 319,213.49, 440,517.56 and 175,978.64

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Solution

The fourth proportional to 319,213.49, 440,517.56 and 175,978.64 is: 242,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,213.49 : 440,517.56 = 175,978.64 : x
  2. Step 2: Convert to fraction form
    319,213.49/440,517.56 = 175,978.64/x
  3. Step 3: Cross multiply
    319,213.49x = 440,517.56 × 175,978.64
  4. Step 4: Simplify right side
    319,213.49x = 77,521,681,326.32
  5. Step 5: Solve for x
    x = 77,521,681,326.32/319,213.49
  6. Step 6: Final answer
    x = 242,852.15

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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.