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Finding the Fourth Proportional to 383,045.76, 528,599.52 and 213,269.76

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Solution

The fourth proportional to 383,045.76, 528,599.52 and 213,269.76 is: 294,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,045.76 : 528,599.52 = 213,269.76 : x
  2. Step 2: Convert to fraction form
    383,045.76/528,599.52 = 213,269.76/x
  3. Step 3: Cross multiply
    383,045.76x = 528,599.52 × 213,269.76
  4. Step 4: Simplify right side
    383,045.76x = 112,734,292,766.52
  5. Step 5: Solve for x
    x = 112,734,292,766.52/383,045.76
  6. Step 6: Final answer
    x = 294,310.25

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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.