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Finding the Fourth Proportional to 319,275, 478,912.68 and 97,659

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Solution

The fourth proportional to 319,275, 478,912.68 and 97,659 is: 146,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,275 : 478,912.68 = 97,659 : x
  2. Step 2: Convert to fraction form
    319,275/478,912.68 = 97,659/x
  3. Step 3: Cross multiply
    319,275x = 478,912.68 × 97,659
  4. Step 4: Simplify right side
    319,275x = 46,770,133,416.12
  5. Step 5: Solve for x
    x = 46,770,133,416.12/319,275
  6. Step 6: Final answer
    x = 146,488.56

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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.