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Finding the Fourth Proportional to 691,713, 954,565.56 and 389,907

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Solution

The fourth proportional to 691,713, 954,565.56 and 389,907 is: 538,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,713 : 954,565.56 = 389,907 : x
  2. Step 2: Convert to fraction form
    691,713/954,565.56 = 389,907/x
  3. Step 3: Cross multiply
    691,713x = 954,565.56 × 389,907
  4. Step 4: Simplify right side
    691,713x = 372,191,793,802.92
  5. Step 5: Solve for x
    x = 372,191,793,802.92/691,713
  6. Step 6: Final answer
    x = 538,072.57

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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.