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Finding the Fourth Proportional to 497,500, 686,568.54 and 282,676.48

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Solution

The fourth proportional to 497,500, 686,568.54 and 282,676.48 is: 390,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,500 : 686,568.54 = 282,676.48 : x
  2. Step 2: Convert to fraction form
    497,500/686,568.54 = 282,676.48/x
  3. Step 3: Cross multiply
    497,500x = 686,568.54 × 282,676.48
  4. Step 4: Simplify right side
    497,500x = 194,076,778,165.94
  5. Step 5: Solve for x
    x = 194,076,778,165.94/497,500
  6. Step 6: Final answer
    x = 390,104.08

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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.