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Finding the Fourth Proportional to 311,509.89, 429,883.74 and 168,270.03

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Solution

The fourth proportional to 311,509.89, 429,883.74 and 168,270.03 is: 232,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,509.89 : 429,883.74 = 168,270.03 : x
  2. Step 2: Convert to fraction form
    311,509.89/429,883.74 = 168,270.03/x
  3. Step 3: Cross multiply
    311,509.89x = 429,883.74 × 168,270.03
  4. Step 4: Simplify right side
    311,509.89x = 72,336,549,826.31
  5. Step 5: Solve for x
    x = 72,336,549,826.31/311,509.89
  6. Step 6: Final answer
    x = 232,212.69

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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.