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Finding the Fourth Proportional to 342,094.87, 472,070.55 and 189,123.90

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Solution

The fourth proportional to 342,094.87, 472,070.55 and 189,123.90 is: 260,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,094.87 : 472,070.55 = 189,123.90 : x
  2. Step 2: Convert to fraction form
    342,094.87/472,070.55 = 189,123.90/x
  3. Step 3: Cross multiply
    342,094.87x = 472,070.55 × 189,123.90
  4. Step 4: Simplify right side
    342,094.87x = 89,279,821,130.79
  5. Step 5: Solve for x
    x = 89,279,821,130.79/342,094.87
  6. Step 6: Final answer
    x = 260,979.71

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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.