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Finding the Fourth Proportional to 311,700.63, 429,947.40 and 216,172.47

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Solution

The fourth proportional to 311,700.63, 429,947.40 and 216,172.47 is: 298,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,700.63 : 429,947.40 = 216,172.47 : x
  2. Step 2: Convert to fraction form
    311,700.63/429,947.40 = 216,172.47/x
  3. Step 3: Cross multiply
    311,700.63x = 429,947.40 × 216,172.47
  4. Step 4: Simplify right side
    311,700.63x = 92,942,791,428.08
  5. Step 5: Solve for x
    x = 92,942,791,428.08/311,700.63
  6. Step 6: Final answer
    x = 298,179.67

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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.