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Finding the Fourth Proportional to 497,471.40, 686,507.94 and 271,114.92

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Solution

The fourth proportional to 497,471.40, 686,507.94 and 271,114.92 is: 374,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,471.40 : 686,507.94 = 271,114.92 : x
  2. Step 2: Convert to fraction form
    497,471.40/686,507.94 = 271,114.92/x
  3. Step 3: Cross multiply
    497,471.40x = 686,507.94 × 271,114.92
  4. Step 4: Simplify right side
    497,471.40x = 186,122,545,232.47
  5. Step 5: Solve for x
    x = 186,122,545,232.47/497,471.40
  6. Step 6: Final answer
    x = 374,137.18

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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.