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Finding the Fourth Proportional to 497,643.84, 686,745 and 271,290.96

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Solution

The fourth proportional to 497,643.84, 686,745 and 271,290.96 is: 374,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,643.84 : 686,745 = 271,290.96 : x
  2. Step 2: Convert to fraction form
    497,643.84/686,745 = 271,290.96/x
  3. Step 3: Cross multiply
    497,643.84x = 686,745 × 271,290.96
  4. Step 4: Simplify right side
    497,643.84x = 186,307,710,325.20
  5. Step 5: Solve for x
    x = 186,307,710,325.20/497,643.84
  6. Step 6: Final answer
    x = 374,379.62

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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.