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Finding the Fourth Proportional to 342,093.48, 472,075.05 and 189,121.93

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Solution

The fourth proportional to 342,093.48, 472,075.05 and 189,121.93 is: 260,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,093.48 : 472,075.05 = 189,121.93 : x
  2. Step 2: Convert to fraction form
    342,093.48/472,075.05 = 189,121.93/x
  3. Step 3: Cross multiply
    342,093.48x = 472,075.05 × 189,121.93
  4. Step 4: Simplify right side
    342,093.48x = 89,279,744,560.85
  5. Step 5: Solve for x
    x = 89,279,744,560.85/342,093.48
  6. Step 6: Final answer
    x = 260,980.55

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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.