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Finding the Fourth Proportional to 631,728, 947,756.16 and 188,496

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Solution

The fourth proportional to 631,728, 947,756.16 and 188,496 is: 282,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,728 : 947,756.16 = 188,496 : x
  2. Step 2: Convert to fraction form
    631,728/947,756.16 = 188,496/x
  3. Step 3: Cross multiply
    631,728x = 947,756.16 × 188,496
  4. Step 4: Simplify right side
    631,728x = 178,648,245,135.36
  5. Step 5: Solve for x
    x = 178,648,245,135.36/631,728
  6. Step 6: Final answer
    x = 282,792.98

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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.