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Finding the Fourth Proportional to 712,007.82, 982,580.03 and 389,711

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Solution

The fourth proportional to 712,007.82, 982,580.03 and 389,711 is: 537,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,007.82 : 982,580.03 = 389,711 : x
  2. Step 2: Convert to fraction form
    712,007.82/982,580.03 = 389,711/x
  3. Step 3: Cross multiply
    712,007.82x = 982,580.03 × 389,711
  4. Step 4: Simplify right side
    712,007.82x = 382,922,246,071.33
  5. Step 5: Solve for x
    x = 382,922,246,071.33/712,007.82
  6. Step 6: Final answer
    x = 537,806.24

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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.