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Finding the Fourth Proportional to 704,032.47, 971,558.64 and 398,169.09

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Solution

The fourth proportional to 704,032.47, 971,558.64 and 398,169.09 is: 549,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,032.47 : 971,558.64 = 398,169.09 : x
  2. Step 2: Convert to fraction form
    704,032.47/971,558.64 = 398,169.09/x
  3. Step 3: Cross multiply
    704,032.47x = 971,558.64 × 398,169.09
  4. Step 4: Simplify right side
    704,032.47x = 386,844,619,570.44
  5. Step 5: Solve for x
    x = 386,844,619,570.44/704,032.47
  6. Step 6: Final answer
    x = 549,469.86

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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.