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Finding the Fourth Proportional to 358,822.68, 538,246.32 and 190,114.80

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Solution

The fourth proportional to 358,822.68, 538,246.32 and 190,114.80 is: 285,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,822.68 : 538,246.32 = 190,114.80 : x
  2. Step 2: Convert to fraction form
    358,822.68/538,246.32 = 190,114.80/x
  3. Step 3: Cross multiply
    358,822.68x = 538,246.32 × 190,114.80
  4. Step 4: Simplify right side
    358,822.68x = 102,328,591,477.54
  5. Step 5: Solve for x
    x = 102,328,591,477.54/358,822.68
  6. Step 6: Final answer
    x = 285,178.72

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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.