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Finding the Fourth Proportional to 497,463, 686,503.80 and 271,113.36

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Solution

The fourth proportional to 497,463, 686,503.80 and 271,113.36 is: 374,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,463 : 686,503.80 = 271,113.36 : x
  2. Step 2: Convert to fraction form
    497,463/686,503.80 = 271,113.36/x
  3. Step 3: Cross multiply
    497,463x = 686,503.80 × 271,113.36
  4. Step 4: Simplify right side
    497,463x = 186,120,351,870.77
  5. Step 5: Solve for x
    x = 186,120,351,870.77/497,463
  6. Step 6: Final answer
    x = 374,139.09

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1.5x scale

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.