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Finding the Fourth Proportional to 489,836.40, 734,581.80 and 223,724.40

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Solution

The fourth proportional to 489,836.40, 734,581.80 and 223,724.40 is: 335,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,836.40 : 734,581.80 = 223,724.40 : x
  2. Step 2: Convert to fraction form
    489,836.40/734,581.80 = 223,724.40/x
  3. Step 3: Cross multiply
    489,836.40x = 734,581.80 × 223,724.40
  4. Step 4: Simplify right side
    489,836.40x = 164,343,872,455.92
  5. Step 5: Solve for x
    x = 164,343,872,455.92/489,836.40
  6. Step 6: Final answer
    x = 335,507.68

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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.