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Finding the Fourth Proportional to 401,838.04, 602,757 and 313,157.92

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Solution

The fourth proportional to 401,838.04, 602,757 and 313,157.92 is: 469,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,838.04 : 602,757 = 313,157.92 : x
  2. Step 2: Convert to fraction form
    401,838.04/602,757 = 313,157.92/x
  3. Step 3: Cross multiply
    401,838.04x = 602,757 × 313,157.92
  4. Step 4: Simplify right side
    401,838.04x = 188,758,128,385.44
  5. Step 5: Solve for x
    x = 188,758,128,385.44/401,838.04
  6. Step 6: Final answer
    x = 469,736.83

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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.