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Finding the Fourth Proportional to 319,154.08, 478,729.68 and 82,476.64

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Solution

The fourth proportional to 319,154.08, 478,729.68 and 82,476.64 is: 123,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,154.08 : 478,729.68 = 82,476.64 : x
  2. Step 2: Convert to fraction form
    319,154.08/478,729.68 = 82,476.64/x
  3. Step 3: Cross multiply
    319,154.08x = 478,729.68 × 82,476.64
  4. Step 4: Simplify right side
    319,154.08x = 39,484,015,474.68
  5. Step 5: Solve for x
    x = 39,484,015,474.68/319,154.08
  6. Step 6: Final answer
    x = 123,714.59

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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.