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Finding the Fourth Proportional to 686,942.92, 947,984.54 and 380,998

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Solution

The fourth proportional to 686,942.92, 947,984.54 and 380,998 is: 525,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,942.92 : 947,984.54 = 380,998 : x
  2. Step 2: Convert to fraction form
    686,942.92/947,984.54 = 380,998/x
  3. Step 3: Cross multiply
    686,942.92x = 947,984.54 × 380,998
  4. Step 4: Simplify right side
    686,942.92x = 361,180,213,770.92
  5. Step 5: Solve for x
    x = 361,180,213,770.92/686,942.92
  6. Step 6: Final answer
    x = 525,779.08

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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.