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Finding the Fourth Proportional to 286,562.88, 395,507.16 and 165,684.96

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Solution

The fourth proportional to 286,562.88, 395,507.16 and 165,684.96 is: 228,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,562.88 : 395,507.16 = 165,684.96 : x
  2. Step 2: Convert to fraction form
    286,562.88/395,507.16 = 165,684.96/x
  3. Step 3: Cross multiply
    286,562.88x = 395,507.16 × 165,684.96
  4. Step 4: Simplify right side
    286,562.88x = 65,529,587,984.31
  5. Step 5: Solve for x
    x = 65,529,587,984.31/286,562.88
  6. Step 6: Final answer
    x = 228,674.38

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1.5x scale

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.