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Finding the Fourth Proportional to 319,980.48, 479,964.24 and 83,317.92

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Solution

The fourth proportional to 319,980.48, 479,964.24 and 83,317.92 is: 124,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,980.48 : 479,964.24 = 83,317.92 : x
  2. Step 2: Convert to fraction form
    319,980.48/479,964.24 = 83,317.92/x
  3. Step 3: Cross multiply
    319,980.48x = 479,964.24 × 83,317.92
  4. Step 4: Simplify right side
    319,980.48x = 39,989,622,151.18
  5. Step 5: Solve for x
    x = 39,989,622,151.18/319,980.48
  6. Step 6: Final answer
    x = 124,975.19

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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.