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Finding the Fourth Proportional to 489,364.85, 734,333.06 and 205,031.12

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Solution

The fourth proportional to 489,364.85, 734,333.06 and 205,031.12 is: 307,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,364.85 : 734,333.06 = 205,031.12 : x
  2. Step 2: Convert to fraction form
    489,364.85/734,333.06 = 205,031.12/x
  3. Step 3: Cross multiply
    489,364.85x = 734,333.06 × 205,031.12
  4. Step 4: Simplify right side
    489,364.85x = 150,561,126,585.74
  5. Step 5: Solve for x
    x = 150,561,126,585.74/489,364.85
  6. Step 6: Final answer
    x = 307,666.41

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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.