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Finding the Fourth Proportional to 312,377.64, 430,758.95 and 267,205.16

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Solution

The fourth proportional to 312,377.64, 430,758.95 and 267,205.16 is: 368,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,377.64 : 430,758.95 = 267,205.16 : x
  2. Step 2: Convert to fraction form
    312,377.64/430,758.95 = 267,205.16/x
  3. Step 3: Cross multiply
    312,377.64x = 430,758.95 × 267,205.16
  4. Step 4: Simplify right side
    312,377.64x = 115,101,014,156.18
  5. Step 5: Solve for x
    x = 115,101,014,156.18/312,377.64
  6. Step 6: Final answer
    x = 368,467.52

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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.