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Finding the Fourth Proportional to 686,049.62, 946,735.83 and 380,124.86

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Solution

The fourth proportional to 686,049.62, 946,735.83 and 380,124.86 is: 524,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,049.62 : 946,735.83 = 380,124.86 : x
  2. Step 2: Convert to fraction form
    686,049.62/946,735.83 = 380,124.86/x
  3. Step 3: Cross multiply
    686,049.62x = 946,735.83 × 380,124.86
  4. Step 4: Simplify right side
    686,049.62x = 359,877,820,102.06
  5. Step 5: Solve for x
    x = 359,877,820,102.06/686,049.62
  6. Step 6: Final answer
    x = 524,565.30

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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.