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Finding the Fourth Proportional to 401,849.98, 602,775.07 and 313,169.92

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Solution

The fourth proportional to 401,849.98, 602,775.07 and 313,169.92 is: 469,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,849.98 : 602,775.07 = 313,169.92 : x
  2. Step 2: Convert to fraction form
    401,849.98/602,775.07 = 313,169.92/x
  3. Step 3: Cross multiply
    401,849.98x = 602,775.07 × 313,169.92
  4. Step 4: Simplify right side
    401,849.98x = 188,771,020,449.89
  5. Step 5: Solve for x
    x = 188,771,020,449.89/401,849.98
  6. Step 6: Final answer
    x = 469,754.96

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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.