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Finding the Fourth Proportional to 401,275.74, 598,376.91 and 397,678.26

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Solution

The fourth proportional to 401,275.74, 598,376.91 and 397,678.26 is: 593,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,275.74 : 598,376.91 = 397,678.26 : x
  2. Step 2: Convert to fraction form
    401,275.74/598,376.91 = 397,678.26/x
  3. Step 3: Cross multiply
    401,275.74x = 598,376.91 × 397,678.26
  4. Step 4: Simplify right side
    401,275.74x = 237,961,488,392.98
  5. Step 5: Solve for x
    x = 237,961,488,392.98/401,275.74
  6. Step 6: Final answer
    x = 593,012.40

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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.