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Finding the Fourth Proportional to 686,143.76, 946,883.98 and 380,225.29

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Solution

The fourth proportional to 686,143.76, 946,883.98 and 380,225.29 is: 524,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,143.76 : 946,883.98 = 380,225.29 : x
  2. Step 2: Convert to fraction form
    686,143.76/946,883.98 = 380,225.29/x
  3. Step 3: Cross multiply
    686,143.76x = 946,883.98 × 380,225.29
  4. Step 4: Simplify right side
    686,143.76x = 360,029,233,636.57
  5. Step 5: Solve for x
    x = 360,029,233,636.57/686,143.76
  6. Step 6: Final answer
    x = 524,713.99

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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.