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Finding the Fourth Proportional to 398,895.93, 598,454.64 and 221,527.51

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Solution

The fourth proportional to 398,895.93, 598,454.64 and 221,527.51 is: 332,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,895.93 : 598,454.64 = 221,527.51 : x
  2. Step 2: Convert to fraction form
    398,895.93/598,454.64 = 221,527.51/x
  3. Step 3: Cross multiply
    398,895.93x = 598,454.64 × 221,527.51
  4. Step 4: Simplify right side
    398,895.93x = 132,574,164,751.01
  5. Step 5: Solve for x
    x = 132,574,164,751.01/398,895.93
  6. Step 6: Final answer
    x = 332,352.76

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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.