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Finding the Fourth Proportional to 311,873.50, 430,385.73 and 168,633.50

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Solution

The fourth proportional to 311,873.50, 430,385.73 and 168,633.50 is: 232,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,873.50 : 430,385.73 = 168,633.50 : x
  2. Step 2: Convert to fraction form
    311,873.50/430,385.73 = 168,633.50/x
  3. Step 3: Cross multiply
    311,873.50x = 430,385.73 × 168,633.50
  4. Step 4: Simplify right side
    311,873.50x = 72,577,452,110.85
  5. Step 5: Solve for x
    x = 72,577,452,110.85/311,873.50
  6. Step 6: Final answer
    x = 232,714.40

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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.