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Finding the Fourth Proportional to 257,414.80, 385,727.46 and 117,009.40

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Solution

The fourth proportional to 257,414.80, 385,727.46 and 117,009.40 is: 175,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,414.80 : 385,727.46 = 117,009.40 : x
  2. Step 2: Convert to fraction form
    257,414.80/385,727.46 = 117,009.40/x
  3. Step 3: Cross multiply
    257,414.80x = 385,727.46 × 117,009.40
  4. Step 4: Simplify right side
    257,414.80x = 45,133,738,658.12
  5. Step 5: Solve for x
    x = 45,133,738,658.12/257,414.80
  6. Step 6: Final answer
    x = 175,334.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.