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Finding the Fourth Proportional to 698,400, 963,792 and 380,448

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Solution

The fourth proportional to 698,400, 963,792 and 380,448 is: 525,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,400 : 963,792 = 380,448 : x
  2. Step 2: Convert to fraction form
    698,400/963,792 = 380,448/x
  3. Step 3: Cross multiply
    698,400x = 963,792 × 380,448
  4. Step 4: Simplify right side
    698,400x = 366,672,738,816
  5. Step 5: Solve for x
    x = 366,672,738,816/698,400
  6. Step 6: Final answer
    x = 525,018.24

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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.