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Finding the Fourth Proportional to 624,448, 862,109.76 and 409,963.36

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Solution

The fourth proportional to 624,448, 862,109.76 and 409,963.36 is: 565,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,448 : 862,109.76 = 409,963.36 : x
  2. Step 2: Convert to fraction form
    624,448/862,109.76 = 409,963.36/x
  3. Step 3: Cross multiply
    624,448x = 862,109.76 × 409,963.36
  4. Step 4: Simplify right side
    624,448x = 353,433,413,898.39
  5. Step 5: Solve for x
    x = 353,433,413,898.39/624,448
  6. Step 6: Final answer
    x = 565,993.35

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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.