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Finding the Fourth Proportional to 686,138.61, 946,876.84 and 380,220.10

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Solution

The fourth proportional to 686,138.61, 946,876.84 and 380,220.10 is: 524,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,138.61 : 946,876.84 = 380,220.10 : x
  2. Step 2: Convert to fraction form
    686,138.61/946,876.84 = 380,220.10/x
  3. Step 3: Cross multiply
    686,138.61x = 946,876.84 × 380,220.10
  4. Step 4: Simplify right side
    686,138.61x = 360,021,604,900.57
  5. Step 5: Solve for x
    x = 360,021,604,900.57/686,138.61
  6. Step 6: Final answer
    x = 524,706.82

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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.