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Finding the Fourth Proportional to 394,915.94, 544,417.17 and 281,541.86

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Solution

The fourth proportional to 394,915.94, 544,417.17 and 281,541.86 is: 388,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,915.94 : 544,417.17 = 281,541.86 : x
  2. Step 2: Convert to fraction form
    394,915.94/544,417.17 = 281,541.86/x
  3. Step 3: Cross multiply
    394,915.94x = 544,417.17 × 281,541.86
  4. Step 4: Simplify right side
    394,915.94x = 153,276,222,657.74
  5. Step 5: Solve for x
    x = 153,276,222,657.74/394,915.94
  6. Step 6: Final answer
    x = 388,123.67

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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.