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Finding the Fourth Proportional to 647,642.36, 971,465.34 and 248,405.51

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Solution

The fourth proportional to 647,642.36, 971,465.34 and 248,405.51 is: 372,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,642.36 : 971,465.34 = 248,405.51 : x
  2. Step 2: Convert to fraction form
    647,642.36/971,465.34 = 248,405.51/x
  3. Step 3: Cross multiply
    647,642.36x = 971,465.34 × 248,405.51
  4. Step 4: Simplify right side
    647,642.36x = 241,317,338,372.70
  5. Step 5: Solve for x
    x = 241,317,338,372.70/647,642.36
  6. Step 6: Final answer
    x = 372,608.95

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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.