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Finding the Fourth Proportional to 769,743, 1,062,211.93 and 420,877.01

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Solution

The fourth proportional to 769,743, 1,062,211.93 and 420,877.01 is: 580,792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,743 : 1,062,211.93 = 420,877.01 : x
  2. Step 2: Convert to fraction form
    769,743/1,062,211.93 = 420,877.01/x
  3. Step 3: Cross multiply
    769,743x = 1,062,211.93 × 420,877.01
  4. Step 4: Simplify right side
    769,743x = 447,060,582,688.07
  5. Step 5: Solve for x
    x = 447,060,582,688.07/769,743
  6. Step 6: Final answer
    x = 580,792.01

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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.