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Finding the Fourth Proportional to 421,505.28, 632,361.60 and 297,089.28

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Solution

The fourth proportional to 421,505.28, 632,361.60 and 297,089.28 is: 445,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,505.28 : 632,361.60 = 297,089.28 : x
  2. Step 2: Convert to fraction form
    421,505.28/632,361.60 = 297,089.28/x
  3. Step 3: Cross multiply
    421,505.28x = 632,361.60 × 297,089.28
  4. Step 4: Simplify right side
    421,505.28x = 187,867,852,443.65
  5. Step 5: Solve for x
    x = 187,867,852,443.65/421,505.28
  6. Step 6: Final answer
    x = 445,707.00

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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.