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Finding the Fourth Proportional to 686,707.09, 947,667.12 and 380,796.38

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Solution

The fourth proportional to 686,707.09, 947,667.12 and 380,796.38 is: 525,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,707.09 : 947,667.12 = 380,796.38 : x
  2. Step 2: Convert to fraction form
    686,707.09/947,667.12 = 380,796.38/x
  3. Step 3: Cross multiply
    686,707.09x = 947,667.12 × 380,796.38
  4. Step 4: Simplify right side
    686,707.09x = 360,868,208,741.03
  5. Step 5: Solve for x
    x = 360,868,208,741.03/686,707.09
  6. Step 6: Final answer
    x = 525,505.29

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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.