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Finding the Fourth Proportional to 631,616.40, 946,963.80 and 257,446.80

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Solution

The fourth proportional to 631,616.40, 946,963.80 and 257,446.80 is: 385,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,616.40 : 946,963.80 = 257,446.80 : x
  2. Step 2: Convert to fraction form
    631,616.40/946,963.80 = 257,446.80/x
  3. Step 3: Cross multiply
    631,616.40x = 946,963.80 × 257,446.80
  4. Step 4: Simplify right side
    631,616.40x = 243,792,800,025.84
  5. Step 5: Solve for x
    x = 243,792,800,025.84/631,616.40
  6. Step 6: Final answer
    x = 385,982.38

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1.5x scale

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.