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Finding the Fourth Proportional to 298,019.60, 447,029.40 and 265,542.65

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Solution

The fourth proportional to 298,019.60, 447,029.40 and 265,542.65 is: 398,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,019.60 : 447,029.40 = 265,542.65 : x
  2. Step 2: Convert to fraction form
    298,019.60/447,029.40 = 265,542.65/x
  3. Step 3: Cross multiply
    298,019.60x = 447,029.40 × 265,542.65
  4. Step 4: Simplify right side
    298,019.60x = 118,705,371,503.91
  5. Step 5: Solve for x
    x = 118,705,371,503.91/298,019.60
  6. Step 6: Final answer
    x = 398,313.98

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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.