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Finding the Fourth Proportional to 319,518.72, 479,324.16 and 97,920

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Solution

The fourth proportional to 319,518.72, 479,324.16 and 97,920 is: 146,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,518.72 : 479,324.16 = 97,920 : x
  2. Step 2: Convert to fraction form
    319,518.72/479,324.16 = 97,920/x
  3. Step 3: Cross multiply
    319,518.72x = 479,324.16 × 97,920
  4. Step 4: Simplify right side
    319,518.72x = 46,935,421,747.20
  5. Step 5: Solve for x
    x = 46,935,421,747.20/319,518.72
  6. Step 6: Final answer
    x = 146,894.12

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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.