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Finding the Fourth Proportional to 500,712.57, 690,983.50 and 271,271.44

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Solution

The fourth proportional to 500,712.57, 690,983.50 and 271,271.44 is: 374,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,712.57 : 690,983.50 = 271,271.44 : x
  2. Step 2: Convert to fraction form
    500,712.57/690,983.50 = 271,271.44/x
  3. Step 3: Cross multiply
    500,712.57x = 690,983.50 × 271,271.44
  4. Step 4: Simplify right side
    500,712.57x = 187,444,087,689.67
  5. Step 5: Solve for x
    x = 187,444,087,689.67/500,712.57
  6. Step 6: Final answer
    x = 374,354.67

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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.