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Finding the Fourth Proportional to 319,322.58, 478,844.79 and 91,567.88

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Solution

The fourth proportional to 319,322.58, 478,844.79 and 91,567.88 is: 137,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,322.58 : 478,844.79 = 91,567.88 : x
  2. Step 2: Convert to fraction form
    319,322.58/478,844.79 = 91,567.88/x
  3. Step 3: Cross multiply
    319,322.58x = 478,844.79 × 91,567.88
  4. Step 4: Simplify right side
    319,322.58x = 43,846,799,875.12
  5. Step 5: Solve for x
    x = 43,846,799,875.12/319,322.58
  6. Step 6: Final answer
    x = 137,311.93

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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.