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Finding the Fourth Proportional to 259,410.53, 357,932.09 and 157,489.65

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Solution

The fourth proportional to 259,410.53, 357,932.09 and 157,489.65 is: 217,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410.53 : 357,932.09 = 157,489.65 : x
  2. Step 2: Convert to fraction form
    259,410.53/357,932.09 = 157,489.65/x
  3. Step 3: Cross multiply
    259,410.53x = 357,932.09 × 157,489.65
  4. Step 4: Simplify right side
    259,410.53x = 56,370,598,790.42
  5. Step 5: Solve for x
    x = 56,370,598,790.42/259,410.53
  6. Step 6: Final answer
    x = 217,302.67

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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.