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Finding the Fourth Proportional to 770,272, 1,062,617.46 and 498,427.54

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Solution

The fourth proportional to 770,272, 1,062,617.46 and 498,427.54 is: 687,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,272 : 1,062,617.46 = 498,427.54 : x
  2. Step 2: Convert to fraction form
    770,272/1,062,617.46 = 498,427.54/x
  3. Step 3: Cross multiply
    770,272x = 1,062,617.46 × 498,427.54
  4. Step 4: Simplify right side
    770,272x = 529,637,806,548.85
  5. Step 5: Solve for x
    x = 529,637,806,548.85/770,272
  6. Step 6: Final answer
    x = 687,598.42

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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.