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Finding the Fourth Proportional to 305,088.50, 421,022.14 and 177,788.70

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Solution

The fourth proportional to 305,088.50, 421,022.14 and 177,788.70 is: 245,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,088.50 : 421,022.14 = 177,788.70 : x
  2. Step 2: Convert to fraction form
    305,088.50/421,022.14 = 177,788.70/x
  3. Step 3: Cross multiply
    305,088.50x = 421,022.14 × 177,788.70
  4. Step 4: Simplify right side
    305,088.50x = 74,852,978,941.82
  5. Step 5: Solve for x
    x = 74,852,978,941.82/305,088.50
  6. Step 6: Final answer
    x = 245,348.41

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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.