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Finding the Fourth Proportional to 357,913, 493,907.35 and 196,766.88

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Solution

The fourth proportional to 357,913, 493,907.35 and 196,766.88 is: 271,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,913 : 493,907.35 = 196,766.88 : x
  2. Step 2: Convert to fraction form
    357,913/493,907.35 = 196,766.88/x
  3. Step 3: Cross multiply
    357,913x = 493,907.35 × 196,766.88
  4. Step 4: Simplify right side
    357,913x = 97,184,608,268.57
  5. Step 5: Solve for x
    x = 97,184,608,268.57/357,913
  6. Step 6: Final answer
    x = 271,531.37

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1.5x scale

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.