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Finding the Fourth Proportional to 714,469.98, 985,969.07 and 387,783

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Solution

The fourth proportional to 714,469.98, 985,969.07 and 387,783 is: 535,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,469.98 : 985,969.07 = 387,783 : x
  2. Step 2: Convert to fraction form
    714,469.98/985,969.07 = 387,783/x
  3. Step 3: Cross multiply
    714,469.98x = 985,969.07 × 387,783
  4. Step 4: Simplify right side
    714,469.98x = 382,342,043,871.81
  5. Step 5: Solve for x
    x = 382,342,043,871.81/714,469.98
  6. Step 6: Final answer
    x = 535,140.81

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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.