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Finding the Fourth Proportional to 401,830.29, 602,745.41 and 313,150.14

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Solution

The fourth proportional to 401,830.29, 602,745.41 and 313,150.14 is: 469,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,830.29 : 602,745.41 = 313,150.14 : x
  2. Step 2: Convert to fraction form
    401,830.29/602,745.41 = 313,150.14/x
  3. Step 3: Cross multiply
    401,830.29x = 602,745.41 × 313,150.14
  4. Step 4: Simplify right side
    401,830.29x = 188,749,807,960.11
  5. Step 5: Solve for x
    x = 188,749,807,960.11/401,830.29
  6. Step 6: Final answer
    x = 469,725.19

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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.