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Finding the Fourth Proportional to 781,769.88, 1,078,865.33 and 432,914.22

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Solution

The fourth proportional to 781,769.88, 1,078,865.33 and 432,914.22 is: 597,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,769.88 : 1,078,865.33 = 432,914.22 : x
  2. Step 2: Convert to fraction form
    781,769.88/1,078,865.33 = 432,914.22/x
  3. Step 3: Cross multiply
    781,769.88x = 1,078,865.33 × 432,914.22
  4. Step 4: Simplify right side
    781,769.88x = 467,056,140,657.42
  5. Step 5: Solve for x
    x = 467,056,140,657.42/781,769.88
  6. Step 6: Final answer
    x = 597,434.30

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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.