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Finding the Fourth Proportional to 342,034.10, 472,000.10 and 189,078.74

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Solution

The fourth proportional to 342,034.10, 472,000.10 and 189,078.74 is: 260,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,034.10 : 472,000.10 = 189,078.74 : x
  2. Step 2: Convert to fraction form
    342,034.10/472,000.10 = 189,078.74/x
  3. Step 3: Cross multiply
    342,034.10x = 472,000.10 × 189,078.74
  4. Step 4: Simplify right side
    342,034.10x = 89,245,184,187.87
  5. Step 5: Solve for x
    x = 89,245,184,187.87/342,034.10
  6. Step 6: Final answer
    x = 260,924.81

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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.