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Finding the Fourth Proportional to 401,825.03, 602,737.54 and 313,144.88

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Solution

The fourth proportional to 401,825.03, 602,737.54 and 313,144.88 is: 469,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,825.03 : 602,737.54 = 313,144.88 : x
  2. Step 2: Convert to fraction form
    401,825.03/602,737.54 = 313,144.88/x
  3. Step 3: Cross multiply
    401,825.03x = 602,737.54 × 313,144.88
  4. Step 4: Simplify right side
    401,825.03x = 188,744,170,838.25
  5. Step 5: Solve for x
    x = 188,744,170,838.25/401,825.03
  6. Step 6: Final answer
    x = 469,717.31

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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.