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Finding the Fourth Proportional to 414,279.88, 618,395.42 and 355,493.32

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Solution

The fourth proportional to 414,279.88, 618,395.42 and 355,493.32 is: 530,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,279.88 : 618,395.42 = 355,493.32 : x
  2. Step 2: Convert to fraction form
    414,279.88/618,395.42 = 355,493.32/x
  3. Step 3: Cross multiply
    414,279.88x = 618,395.42 × 355,493.32
  4. Step 4: Simplify right side
    414,279.88x = 219,835,440,271.34
  5. Step 5: Solve for x
    x = 219,835,440,271.34/414,279.88
  6. Step 6: Final answer
    x = 530,644.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.