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Finding the Fourth Proportional to 317,144.61, 474,783.80 and 211,702.05

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Solution

The fourth proportional to 317,144.61, 474,783.80 and 211,702.05 is: 316,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,144.61 : 474,783.80 = 211,702.05 : x
  2. Step 2: Convert to fraction form
    317,144.61/474,783.80 = 211,702.05/x
  3. Step 3: Cross multiply
    317,144.61x = 474,783.80 × 211,702.05
  4. Step 4: Simplify right side
    317,144.61x = 100,512,702,708.28
  5. Step 5: Solve for x
    x = 100,512,702,708.28/317,144.61
  6. Step 6: Final answer
    x = 316,930.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.