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Finding the Fourth Proportional to 686,114.98, 946,859.42 and 380,162.76

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Solution

The fourth proportional to 686,114.98, 946,859.42 and 380,162.76 is: 524,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,114.98 : 946,859.42 = 380,162.76 : x
  2. Step 2: Convert to fraction form
    686,114.98/946,859.42 = 380,162.76/x
  3. Step 3: Cross multiply
    686,114.98x = 946,859.42 × 380,162.76
  4. Step 4: Simplify right side
    686,114.98x = 359,960,690,439.20
  5. Step 5: Solve for x
    x = 359,960,690,439.20/686,114.98
  6. Step 6: Final answer
    x = 524,636.10

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Double scale
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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.