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Finding the Fourth Proportional to 286,447.86, 395,254.16 and 165,565.86

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Solution

The fourth proportional to 286,447.86, 395,254.16 and 165,565.86 is: 228,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.86 : 395,254.16 = 165,565.86 : x
  2. Step 2: Convert to fraction form
    286,447.86/395,254.16 = 165,565.86/x
  3. Step 3: Cross multiply
    286,447.86x = 395,254.16 × 165,565.86
  4. Step 4: Simplify right side
    286,447.86x = 65,440,594,918.98
  5. Step 5: Solve for x
    x = 65,440,594,918.98/286,447.86
  6. Step 6: Final answer
    x = 228,455.52

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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.