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Finding the Fourth Proportional to 1,414,128, 1,951,496.96 and 778,224

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Solution

The fourth proportional to 1,414,128, 1,951,496.96 and 778,224 is: 1,073,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,128 : 1,951,496.96 = 778,224 : x
  2. Step 2: Convert to fraction form
    1,414,128/1,951,496.96 = 778,224/x
  3. Step 3: Cross multiply
    1,414,128x = 1,951,496.96 × 778,224
  4. Step 4: Simplify right side
    1,414,128x = 1,518,701,770,199.04
  5. Step 5: Solve for x
    x = 1,518,701,770,199.04/1,414,128
  6. Step 6: Final answer
    x = 1,073,949.30

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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.