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Finding the Fourth Proportional to 497,662.56, 686,845.44 and 282,759.84

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Solution

The fourth proportional to 497,662.56, 686,845.44 and 282,759.84 is: 390,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,662.56 : 686,845.44 = 282,759.84 : x
  2. Step 2: Convert to fraction form
    497,662.56/686,845.44 = 282,759.84/x
  3. Step 3: Cross multiply
    497,662.56x = 686,845.44 × 282,759.84
  4. Step 4: Simplify right side
    497,662.56x = 194,212,306,719.13
  5. Step 5: Solve for x
    x = 194,212,306,719.13/497,662.56
  6. Step 6: Final answer
    x = 390,248.98

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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.