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Finding the Fourth Proportional to 383,018, 528,568.49 and 213,255.77

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Solution

The fourth proportional to 383,018, 528,568.49 and 213,255.77 is: 294,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,018 : 528,568.49 = 213,255.77 : x
  2. Step 2: Convert to fraction form
    383,018/528,568.49 = 213,255.77/x
  3. Step 3: Cross multiply
    383,018x = 528,568.49 × 213,255.77
  4. Step 4: Simplify right side
    383,018x = 112,720,280,332.69
  5. Step 5: Solve for x
    x = 112,720,280,332.69/383,018
  6. Step 6: Final answer
    x = 294,294.99

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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.