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Finding the Fourth Proportional to 319,590, 479,568.16 and 130,015.38

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Solution

The fourth proportional to 319,590, 479,568.16 and 130,015.38 is: 195,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,590 : 479,568.16 = 130,015.38 : x
  2. Step 2: Convert to fraction form
    319,590/479,568.16 = 130,015.38/x
  3. Step 3: Cross multiply
    319,590x = 479,568.16 × 130,015.38
  4. Step 4: Simplify right side
    319,590x = 62,351,236,558.30
  5. Step 5: Solve for x
    x = 62,351,236,558.30/319,590
  6. Step 6: Final answer
    x = 195,097.58

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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.