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Finding the Fourth Proportional to 686,813.67, 947,850.66 and 380,917.98

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Solution

The fourth proportional to 686,813.67, 947,850.66 and 380,917.98 is: 525,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,813.67 : 947,850.66 = 380,917.98 : x
  2. Step 2: Convert to fraction form
    686,813.67/947,850.66 = 380,917.98/x
  3. Step 3: Cross multiply
    686,813.67x = 947,850.66 × 380,917.98
  4. Step 4: Simplify right side
    686,813.67x = 361,053,358,748.87
  5. Step 5: Solve for x
    x = 361,053,358,748.87/686,813.67
  6. Step 6: Final answer
    x = 525,693.32

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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.