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Finding the Fourth Proportional to 613,992.90, 847,336.35 and 342,060.64

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Solution

The fourth proportional to 613,992.90, 847,336.35 and 342,060.64 is: 472,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,992.90 : 847,336.35 = 342,060.64 : x
  2. Step 2: Convert to fraction form
    613,992.90/847,336.35 = 342,060.64/x
  3. Step 3: Cross multiply
    613,992.90x = 847,336.35 × 342,060.64
  4. Step 4: Simplify right side
    613,992.90x = 289,840,414,176.26
  5. Step 5: Solve for x
    x = 289,840,414,176.26/613,992.90
  6. Step 6: Final answer
    x = 472,058.25

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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.