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Finding the Fourth Proportional to 489,609.36, 734,449.68 and 205,013.76

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Solution

The fourth proportional to 489,609.36, 734,449.68 and 205,013.76 is: 307,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,609.36 : 734,449.68 = 205,013.76 : x
  2. Step 2: Convert to fraction form
    489,609.36/734,449.68 = 205,013.76/x
  3. Step 3: Cross multiply
    489,609.36x = 734,449.68 × 205,013.76
  4. Step 4: Simplify right side
    489,609.36x = 150,572,290,427.60
  5. Step 5: Solve for x
    x = 150,572,290,427.60/489,609.36
  6. Step 6: Final answer
    x = 307,535.56

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1.5x scale

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.