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Finding the Fourth Proportional to 383,017, 528,567.11 and 213,254.77

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Solution

The fourth proportional to 383,017, 528,567.11 and 213,254.77 is: 294,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,017 : 528,567.11 = 213,254.77 : x
  2. Step 2: Convert to fraction form
    383,017/528,567.11 = 213,254.77/x
  3. Step 3: Cross multiply
    383,017x = 528,567.11 × 213,254.77
  4. Step 4: Simplify right side
    383,017x = 112,719,456,406.34
  5. Step 5: Solve for x
    x = 112,719,456,406.34/383,017
  6. Step 6: Final answer
    x = 294,293.61

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1.5x scale

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.