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Finding the Fourth Proportional to 711,686, 982,127.40 and 409,880.72

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Solution

The fourth proportional to 711,686, 982,127.40 and 409,880.72 is: 565,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,686 : 982,127.40 = 409,880.72 : x
  2. Step 2: Convert to fraction form
    711,686/982,127.40 = 409,880.72/x
  3. Step 3: Cross multiply
    711,686x = 982,127.40 × 409,880.72
  4. Step 4: Simplify right side
    711,686x = 402,555,085,843.73
  5. Step 5: Solve for x
    x = 402,555,085,843.73/711,686
  6. Step 6: Final answer
    x = 565,635.81

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1.5x scale

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.