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Finding the Fourth Proportional to 353,729.94, 488,147.39 and 192,585

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Solution

The fourth proportional to 353,729.94, 488,147.39 and 192,585 is: 265,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,729.94 : 488,147.39 = 192,585 : x
  2. Step 2: Convert to fraction form
    353,729.94/488,147.39 = 192,585/x
  3. Step 3: Cross multiply
    353,729.94x = 488,147.39 × 192,585
  4. Step 4: Simplify right side
    353,729.94x = 94,009,865,103.15
  5. Step 5: Solve for x
    x = 94,009,865,103.15/353,729.94
  6. Step 6: Final answer
    x = 265,767.34

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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.