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Finding the Fourth Proportional to 631,756, 947,798.16 and 188,524

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Solution

The fourth proportional to 631,756, 947,798.16 and 188,524 is: 282,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,756 : 947,798.16 = 188,524 : x
  2. Step 2: Convert to fraction form
    631,756/947,798.16 = 188,524/x
  3. Step 3: Cross multiply
    631,756x = 947,798.16 × 188,524
  4. Step 4: Simplify right side
    631,756x = 178,682,700,315.84
  5. Step 5: Solve for x
    x = 178,682,700,315.84/631,756
  6. Step 6: Final answer
    x = 282,834.99

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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.