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Finding the Fourth Proportional to 340,890.78, 511,486.79 and 178,746.11

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Solution

The fourth proportional to 340,890.78, 511,486.79 and 178,746.11 is: 268,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,890.78 : 511,486.79 = 178,746.11 : x
  2. Step 2: Convert to fraction form
    340,890.78/511,486.79 = 178,746.11/x
  3. Step 3: Cross multiply
    340,890.78x = 511,486.79 × 178,746.11
  4. Step 4: Simplify right side
    340,890.78x = 91,426,271,471.45
  5. Step 5: Solve for x
    x = 91,426,271,471.45/340,890.78
  6. Step 6: Final answer
    x = 268,198.14

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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.