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Finding the Fourth Proportional to 704,873.21, 972,493.43 and 398,919.20

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Solution

The fourth proportional to 704,873.21, 972,493.43 and 398,919.20 is: 550,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,873.21 : 972,493.43 = 398,919.20 : x
  2. Step 2: Convert to fraction form
    704,873.21/972,493.43 = 398,919.20/x
  3. Step 3: Cross multiply
    704,873.21x = 972,493.43 × 398,919.20
  4. Step 4: Simplify right side
    704,873.21x = 387,946,294,243.79
  5. Step 5: Solve for x
    x = 387,946,294,243.79/704,873.21
  6. Step 6: Final answer
    x = 550,377.42

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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.