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Finding the Fourth Proportional to 311,820.34, 430,312.12 and 168,580.34

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Solution

The fourth proportional to 311,820.34, 430,312.12 and 168,580.34 is: 232,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,820.34 : 430,312.12 = 168,580.34 : x
  2. Step 2: Convert to fraction form
    311,820.34/430,312.12 = 168,580.34/x
  3. Step 3: Cross multiply
    311,820.34x = 430,312.12 × 168,580.34
  4. Step 4: Simplify right side
    311,820.34x = 72,542,163,495.72
  5. Step 5: Solve for x
    x = 72,542,163,495.72/311,820.34
  6. Step 6: Final answer
    x = 232,640.90

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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.