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Finding the Fourth Proportional to 213,311, 294,369.18 and 128,431.64

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Solution

The fourth proportional to 213,311, 294,369.18 and 128,431.64 is: 177,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,311 : 294,369.18 = 128,431.64 : x
  2. Step 2: Convert to fraction form
    213,311/294,369.18 = 128,431.64/x
  3. Step 3: Cross multiply
    213,311x = 294,369.18 × 128,431.64
  4. Step 4: Simplify right side
    213,311x = 37,806,316,552.86
  5. Step 5: Solve for x
    x = 37,806,316,552.86/213,311
  6. Step 6: Final answer
    x = 177,235.66

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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.