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Finding the Fourth Proportional to 497,494.75, 686,561.30 and 282,671.20

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Solution

The fourth proportional to 497,494.75, 686,561.30 and 282,671.20 is: 390,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,494.75 : 686,561.30 = 282,671.20 : x
  2. Step 2: Convert to fraction form
    497,494.75/686,561.30 = 282,671.20/x
  3. Step 3: Cross multiply
    497,494.75x = 686,561.30 × 282,671.20
  4. Step 4: Simplify right side
    497,494.75x = 194,071,106,544.56
  5. Step 5: Solve for x
    x = 194,071,106,544.56/497,494.75
  6. Step 6: Final answer
    x = 390,096.79

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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.