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Finding the Fourth Proportional to 319,519.72, 479,325.66 and 97,921

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Solution

The fourth proportional to 319,519.72, 479,325.66 and 97,921 is: 146,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,519.72 : 479,325.66 = 97,921 : x
  2. Step 2: Convert to fraction form
    319,519.72/479,325.66 = 97,921/x
  3. Step 3: Cross multiply
    319,519.72x = 479,325.66 × 97,921
  4. Step 4: Simplify right side
    319,519.72x = 46,936,047,952.86
  5. Step 5: Solve for x
    x = 46,936,047,952.86/319,519.72
  6. Step 6: Final answer
    x = 146,895.62

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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.