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Finding the Fourth Proportional to 342,328.14, 472,376.40 and 189,342

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Solution

The fourth proportional to 342,328.14, 472,376.40 and 189,342 is: 261,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,328.14 : 472,376.40 = 189,342 : x
  2. Step 2: Convert to fraction form
    342,328.14/472,376.40 = 189,342/x
  3. Step 3: Cross multiply
    342,328.14x = 472,376.40 × 189,342
  4. Step 4: Simplify right side
    342,328.14x = 89,440,692,328.80
  5. Step 5: Solve for x
    x = 89,440,692,328.80/342,328.14
  6. Step 6: Final answer
    x = 261,271.81

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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.