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Finding the Fourth Proportional to 258,942.96, 357,296.76 and 238,014.90

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Solution

The fourth proportional to 258,942.96, 357,296.76 and 238,014.90 is: 328,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,942.96 : 357,296.76 = 238,014.90 : x
  2. Step 2: Convert to fraction form
    258,942.96/357,296.76 = 238,014.90/x
  3. Step 3: Cross multiply
    258,942.96x = 357,296.76 × 238,014.90
  4. Step 4: Simplify right side
    258,942.96x = 85,041,952,601.72
  5. Step 5: Solve for x
    x = 85,041,952,601.72/258,942.96
  6. Step 6: Final answer
    x = 328,419.64

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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.