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Finding the Fourth Proportional to 469,447.82, 647,820.50 and 278,346.86

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Solution

The fourth proportional to 469,447.82, 647,820.50 and 278,346.86 is: 384,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,447.82 : 647,820.50 = 278,346.86 : x
  2. Step 2: Convert to fraction form
    469,447.82/647,820.50 = 278,346.86/x
  3. Step 3: Cross multiply
    469,447.82x = 647,820.50 × 278,346.86
  4. Step 4: Simplify right side
    469,447.82x = 180,318,802,018.63
  5. Step 5: Solve for x
    x = 180,318,802,018.63/469,447.82
  6. Step 6: Final answer
    x = 384,108.30

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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.