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Finding the Fourth Proportional to 497,399.96, 686,412.06 and 271,045.46

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Solution

The fourth proportional to 497,399.96, 686,412.06 and 271,045.46 is: 374,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,399.96 : 686,412.06 = 271,045.46 : x
  2. Step 2: Convert to fraction form
    497,399.96/686,412.06 = 271,045.46/x
  3. Step 3: Cross multiply
    497,399.96x = 686,412.06 × 271,045.46
  4. Step 4: Simplify right side
    497,399.96x = 186,048,872,552.25
  5. Step 5: Solve for x
    x = 186,048,872,552.25/497,399.96
  6. Step 6: Final answer
    x = 374,042.80

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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.