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Finding the Fourth Proportional to 476,786.89, 657,958.63 and 258,994.50

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Solution

The fourth proportional to 476,786.89, 657,958.63 and 258,994.50 is: 357,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,786.89 : 657,958.63 = 258,994.50 : x
  2. Step 2: Convert to fraction form
    476,786.89/657,958.63 = 258,994.50/x
  3. Step 3: Cross multiply
    476,786.89x = 657,958.63 × 258,994.50
  4. Step 4: Simplify right side
    476,786.89x = 170,407,666,397.54
  5. Step 5: Solve for x
    x = 170,407,666,397.54/476,786.89
  6. Step 6: Final answer
    x = 357,408.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.