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Finding the Fourth Proportional to 686,725.75, 947,686.84 and 380,784.24

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Solution

The fourth proportional to 686,725.75, 947,686.84 and 380,784.24 is: 525,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,725.75 : 947,686.84 = 380,784.24 : x
  2. Step 2: Convert to fraction form
    686,725.75/947,686.84 = 380,784.24/x
  3. Step 3: Cross multiply
    686,725.75x = 947,686.84 × 380,784.24
  4. Step 4: Simplify right side
    686,725.75x = 360,864,212,175.44
  5. Step 5: Solve for x
    x = 360,864,212,175.44/686,725.75
  6. Step 6: Final answer
    x = 525,485.19

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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.