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Finding the Fourth Proportional to 497,800.74, 686,964.81 and 271,446.24

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Solution

The fourth proportional to 497,800.74, 686,964.81 and 271,446.24 is: 374,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,800.74 : 686,964.81 = 271,446.24 : x
  2. Step 2: Convert to fraction form
    497,800.74/686,964.81 = 271,446.24/x
  3. Step 3: Cross multiply
    497,800.74x = 686,964.81 × 271,446.24
  4. Step 4: Simplify right side
    497,800.74x = 186,474,018,280.86
  5. Step 5: Solve for x
    x = 186,474,018,280.86/497,800.74
  6. Step 6: Final answer
    x = 374,595.70

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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.