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Finding the Fourth Proportional to 722,408, 1,083,525.72 and 189,970.50

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Solution

The fourth proportional to 722,408, 1,083,525.72 and 189,970.50 is: 284,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,408 : 1,083,525.72 = 189,970.50 : x
  2. Step 2: Convert to fraction form
    722,408/1,083,525.72 = 189,970.50/x
  3. Step 3: Cross multiply
    722,408x = 1,083,525.72 × 189,970.50
  4. Step 4: Simplify right side
    722,408x = 205,837,922,791.26
  5. Step 5: Solve for x
    x = 205,837,922,791.26/722,408
  6. Step 6: Final answer
    x = 284,933.06

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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.