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Finding the Fourth Proportional to 210,916.20, 316,028.70 and 179,812.20

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Solution

The fourth proportional to 210,916.20, 316,028.70 and 179,812.20 is: 269,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,916.20 : 316,028.70 = 179,812.20 : x
  2. Step 2: Convert to fraction form
    210,916.20/316,028.70 = 179,812.20/x
  3. Step 3: Cross multiply
    210,916.20x = 316,028.70 × 179,812.20
  4. Step 4: Simplify right side
    210,916.20x = 56,825,815,810.14
  5. Step 5: Solve for x
    x = 56,825,815,810.14/210,916.20
  6. Step 6: Final answer
    x = 269,423.67

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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.