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Finding the Fourth Proportional to 489,476.34, 734,126.93 and 311,454.54

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Solution

The fourth proportional to 489,476.34, 734,126.93 and 311,454.54 is: 467,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,476.34 : 734,126.93 = 311,454.54 : x
  2. Step 2: Convert to fraction form
    489,476.34/734,126.93 = 311,454.54/x
  3. Step 3: Cross multiply
    489,476.34x = 734,126.93 × 311,454.54
  4. Step 4: Simplify right side
    489,476.34x = 228,647,165,284.76
  5. Step 5: Solve for x
    x = 228,647,165,284.76/489,476.34
  6. Step 6: Final answer
    x = 467,126.08

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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.