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Finding the Fourth Proportional to 686,014.30, 946,687.53 and 380,084.59

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Solution

The fourth proportional to 686,014.30, 946,687.53 and 380,084.59 is: 524,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,014.30 : 946,687.53 = 380,084.59 : x
  2. Step 2: Convert to fraction form
    686,014.30/946,687.53 = 380,084.59/x
  3. Step 3: Cross multiply
    686,014.30x = 946,687.53 × 380,084.59
  4. Step 4: Simplify right side
    686,014.30x = 359,821,341,698.16
  5. Step 5: Solve for x
    x = 359,821,341,698.16/686,014.30
  6. Step 6: Final answer
    x = 524,509.97

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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.