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Finding the Fourth Proportional to 686,262.33, 947,042.11 and 380,358.46

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Solution

The fourth proportional to 686,262.33, 947,042.11 and 380,358.46 is: 524,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,262.33 : 947,042.11 = 380,358.46 : x
  2. Step 2: Convert to fraction form
    686,262.33/947,042.11 = 380,358.46/x
  3. Step 3: Cross multiply
    686,262.33x = 947,042.11 × 380,358.46
  4. Step 4: Simplify right side
    686,262.33x = 360,215,478,272.21
  5. Step 5: Solve for x
    x = 360,215,478,272.21/686,262.33
  6. Step 6: Final answer
    x = 524,894.72

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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.