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Finding the Fourth Proportional to 304,541.46, 419,987.90 and 261,506.28

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Solution

The fourth proportional to 304,541.46, 419,987.90 and 261,506.28 is: 360,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,541.46 : 419,987.90 = 261,506.28 : x
  2. Step 2: Convert to fraction form
    304,541.46/419,987.90 = 261,506.28/x
  3. Step 3: Cross multiply
    304,541.46x = 419,987.90 × 261,506.28
  4. Step 4: Simplify right side
    304,541.46x = 109,829,473,374.01
  5. Step 5: Solve for x
    x = 109,829,473,374.01/304,541.46
  6. Step 6: Final answer
    x = 360,638.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.