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Finding the Fourth Proportional to 497,732.85, 686,872.02 and 271,378.35

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Solution

The fourth proportional to 497,732.85, 686,872.02 and 271,378.35 is: 374,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,732.85 : 686,872.02 = 271,378.35 : x
  2. Step 2: Convert to fraction form
    497,732.85/686,872.02 = 271,378.35/x
  3. Step 3: Cross multiply
    497,732.85x = 686,872.02 × 271,378.35
  4. Step 4: Simplify right side
    497,732.85x = 186,402,195,448.77
  5. Step 5: Solve for x
    x = 186,402,195,448.77/497,732.85
  6. Step 6: Final answer
    x = 374,502.50

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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.