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Finding the Fourth Proportional to 386,455.46, 579,402.92 and 259,781.48

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Solution

The fourth proportional to 386,455.46, 579,402.92 and 259,781.48 is: 389,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,455.46 : 579,402.92 = 259,781.48 : x
  2. Step 2: Convert to fraction form
    386,455.46/579,402.92 = 259,781.48/x
  3. Step 3: Cross multiply
    386,455.46x = 579,402.92 × 259,781.48
  4. Step 4: Simplify right side
    386,455.46x = 150,518,147,999.12
  5. Step 5: Solve for x
    x = 150,518,147,999.12/386,455.46
  6. Step 6: Final answer
    x = 389,483.82

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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.