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Finding the Fourth Proportional to 497,570.78, 686,648.88 and 271,216.28

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Solution

The fourth proportional to 497,570.78, 686,648.88 and 271,216.28 is: 374,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,570.78 : 686,648.88 = 271,216.28 : x
  2. Step 2: Convert to fraction form
    497,570.78/686,648.88 = 271,216.28/x
  3. Step 3: Cross multiply
    497,570.78x = 686,648.88 × 271,216.28
  4. Step 4: Simplify right side
    497,570.78x = 186,230,354,899.77
  5. Step 5: Solve for x
    x = 186,230,354,899.77/497,570.78
  6. Step 6: Final answer
    x = 374,279.12

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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.