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Finding the Fourth Proportional to 713,091.76, 984,044.35 and 390,796

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Solution

The fourth proportional to 713,091.76, 984,044.35 and 390,796 is: 539,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,091.76 : 984,044.35 = 390,796 : x
  2. Step 2: Convert to fraction form
    713,091.76/984,044.35 = 390,796/x
  3. Step 3: Cross multiply
    713,091.76x = 984,044.35 × 390,796
  4. Step 4: Simplify right side
    713,091.76x = 384,560,595,802.60
  5. Step 5: Solve for x
    x = 384,560,595,802.60/713,091.76
  6. Step 6: Final answer
    x = 539,286.27

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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.