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Finding the Fourth Proportional to 771,947.68, 1,157,954 and 210,980.64

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Solution

The fourth proportional to 771,947.68, 1,157,954 and 210,980.64 is: 316,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,947.68 : 1,157,954 = 210,980.64 : x
  2. Step 2: Convert to fraction form
    771,947.68/1,157,954 = 210,980.64/x
  3. Step 3: Cross multiply
    771,947.68x = 1,157,954 × 210,980.64
  4. Step 4: Simplify right side
    771,947.68x = 244,305,876,010.56
  5. Step 5: Solve for x
    x = 244,305,876,010.56/771,947.68
  6. Step 6: Final answer
    x = 316,479.84

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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.