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Finding the Fourth Proportional to 312,474.61, 470,042.34 and 283,245.40

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Solution

The fourth proportional to 312,474.61, 470,042.34 and 283,245.40 is: 426,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,474.61 : 470,042.34 = 283,245.40 : x
  2. Step 2: Convert to fraction form
    312,474.61/470,042.34 = 283,245.40/x
  3. Step 3: Cross multiply
    312,474.61x = 470,042.34 × 283,245.40
  4. Step 4: Simplify right side
    312,474.61x = 133,137,330,610.24
  5. Step 5: Solve for x
    x = 133,137,330,610.24/312,474.61
  6. Step 6: Final answer
    x = 426,074.08

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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.