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Finding the Fourth Proportional to 401,829.79, 602,744.65 and 313,149.64

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Solution

The fourth proportional to 401,829.79, 602,744.65 and 313,149.64 is: 469,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,829.79 : 602,744.65 = 313,149.64 : x
  2. Step 2: Convert to fraction form
    401,829.79/602,744.65 = 313,149.64/x
  3. Step 3: Cross multiply
    401,829.79x = 602,744.65 × 313,149.64
  4. Step 4: Simplify right side
    401,829.79x = 188,749,270,159.43
  5. Step 5: Solve for x
    x = 188,749,270,159.43/401,829.79
  6. Step 6: Final answer
    x = 469,724.43

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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.