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Finding the Fourth Proportional to 319,322.80, 478,984.12 and 108,960.72

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Solution

The fourth proportional to 319,322.80, 478,984.12 and 108,960.72 is: 163,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,322.80 : 478,984.12 = 108,960.72 : x
  2. Step 2: Convert to fraction form
    319,322.80/478,984.12 = 108,960.72/x
  3. Step 3: Cross multiply
    319,322.80x = 478,984.12 × 108,960.72
  4. Step 4: Simplify right side
    319,322.80x = 52,190,454,583.77
  5. Step 5: Solve for x
    x = 52,190,454,583.77/319,322.80
  6. Step 6: Final answer
    x = 163,441.05

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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.