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Finding the Fourth Proportional to 390,329.76, 538,357.86 and 335,974.41

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Solution

The fourth proportional to 390,329.76, 538,357.86 and 335,974.41 is: 463,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,329.76 : 538,357.86 = 335,974.41 : x
  2. Step 2: Convert to fraction form
    390,329.76/538,357.86 = 335,974.41/x
  3. Step 3: Cross multiply
    390,329.76x = 538,357.86 × 335,974.41
  4. Step 4: Simplify right side
    390,329.76x = 180,874,464,382.36
  5. Step 5: Solve for x
    x = 180,874,464,382.36/390,329.76
  6. Step 6: Final answer
    x = 463,388.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.