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Finding the Fourth Proportional to 298,388.95, 447,583.43 and 285,430.98

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Solution

The fourth proportional to 298,388.95, 447,583.43 and 285,430.98 is: 428,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,388.95 : 447,583.43 = 285,430.98 : x
  2. Step 2: Convert to fraction form
    298,388.95/447,583.43 = 285,430.98/x
  3. Step 3: Cross multiply
    298,388.95x = 447,583.43 × 285,430.98
  4. Step 4: Simplify right side
    298,388.95x = 127,754,173,391.59
  5. Step 5: Solve for x
    x = 127,754,173,391.59/298,388.95
  6. Step 6: Final answer
    x = 428,146.46

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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.