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Finding the Fourth Proportional to 314,813.78, 434,454.74 and 178,870.78

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Solution

The fourth proportional to 314,813.78, 434,454.74 and 178,870.78 is: 246,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,813.78 : 434,454.74 = 178,870.78 : x
  2. Step 2: Convert to fraction form
    314,813.78/434,454.74 = 178,870.78/x
  3. Step 3: Cross multiply
    314,813.78x = 434,454.74 × 178,870.78
  4. Step 4: Simplify right side
    314,813.78x = 77,711,257,579.54
  5. Step 5: Solve for x
    x = 77,711,257,579.54/314,813.78
  6. Step 6: Final answer
    x = 246,848.33

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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.