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Finding the Fourth Proportional to 383,283.50, 528,647.88 and 281,274.50

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Solution

The fourth proportional to 383,283.50, 528,647.88 and 281,274.50 is: 387,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,283.50 : 528,647.88 = 281,274.50 : x
  2. Step 2: Convert to fraction form
    383,283.50/528,647.88 = 281,274.50/x
  3. Step 3: Cross multiply
    383,283.50x = 528,647.88 × 281,274.50
  4. Step 4: Simplify right side
    383,283.50x = 148,695,168,123.06
  5. Step 5: Solve for x
    x = 148,695,168,123.06/383,283.50
  6. Step 6: Final answer
    x = 387,950.87

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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.