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Finding the Fourth Proportional to 286,002, 394,669.32 and 156,937.56

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Solution

The fourth proportional to 286,002, 394,669.32 and 156,937.56 is: 216,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,002 : 394,669.32 = 156,937.56 : x
  2. Step 2: Convert to fraction form
    286,002/394,669.32 = 156,937.56/x
  3. Step 3: Cross multiply
    286,002x = 394,669.32 × 156,937.56
  4. Step 4: Simplify right side
    286,002x = 61,938,440,087.66
  5. Step 5: Solve for x
    x = 61,938,440,087.66/286,002
  6. Step 6: Final answer
    x = 216,566.46

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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.