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Finding the Fourth Proportional to 489,477.36, 734,218.56 and 223,057.02

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Solution

The fourth proportional to 489,477.36, 734,218.56 and 223,057.02 is: 334,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,477.36 : 734,218.56 = 223,057.02 : x
  2. Step 2: Convert to fraction form
    489,477.36/734,218.56 = 223,057.02/x
  3. Step 3: Cross multiply
    489,477.36x = 734,218.56 × 223,057.02
  4. Step 4: Simplify right side
    489,477.36x = 163,772,604,022.29
  5. Step 5: Solve for x
    x = 163,772,604,022.29/489,477.36
  6. Step 6: Final answer
    x = 334,586.68

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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.