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Finding the Fourth Proportional to 523,242, 784,980 and 190,818

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Solution

The fourth proportional to 523,242, 784,980 and 190,818 is: 286,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,242 : 784,980 = 190,818 : x
  2. Step 2: Convert to fraction form
    523,242/784,980 = 190,818/x
  3. Step 3: Cross multiply
    523,242x = 784,980 × 190,818
  4. Step 4: Simplify right side
    523,242x = 149,788,313,640
  5. Step 5: Solve for x
    x = 149,788,313,640/523,242
  6. Step 6: Final answer
    x = 286,269.67

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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.