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Finding the Fourth Proportional to 486,066.82, 670,778.13 and 282,164.98

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Solution

The fourth proportional to 486,066.82, 670,778.13 and 282,164.98 is: 389,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,066.82 : 670,778.13 = 282,164.98 : x
  2. Step 2: Convert to fraction form
    486,066.82/670,778.13 = 282,164.98/x
  3. Step 3: Cross multiply
    486,066.82x = 670,778.13 × 282,164.98
  4. Step 4: Simplify right side
    486,066.82x = 189,270,097,635.89
  5. Step 5: Solve for x
    x = 189,270,097,635.89/486,066.82
  6. Step 6: Final answer
    x = 389,391.11

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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.