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Finding the Fourth Proportional to 712,006.73, 982,578.52 and 389,709.91

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Solution

The fourth proportional to 712,006.73, 982,578.52 and 389,709.91 is: 537,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,006.73 : 982,578.52 = 389,709.91 : x
  2. Step 2: Convert to fraction form
    712,006.73/982,578.52 = 389,709.91/x
  3. Step 3: Cross multiply
    712,006.73x = 982,578.52 × 389,709.91
  4. Step 4: Simplify right side
    712,006.73x = 382,920,582,922.84
  5. Step 5: Solve for x
    x = 382,920,582,922.84/712,006.73
  6. Step 6: Final answer
    x = 537,804.72

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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.