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Finding the Fourth Proportional to 303,499.53, 418,764.40 and 176,106.78

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Solution

The fourth proportional to 303,499.53, 418,764.40 and 176,106.78 is: 242,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,499.53 : 418,764.40 = 176,106.78 : x
  2. Step 2: Convert to fraction form
    303,499.53/418,764.40 = 176,106.78/x
  3. Step 3: Cross multiply
    303,499.53x = 418,764.40 × 176,106.78
  4. Step 4: Simplify right side
    303,499.53x = 73,747,249,622.37
  5. Step 5: Solve for x
    x = 73,747,249,622.37/303,499.53
  6. Step 6: Final answer
    x = 242,989.67

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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.