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Finding the Fourth Proportional to 469,781.60, 704,881.20 and 189,845.60

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Solution

The fourth proportional to 469,781.60, 704,881.20 and 189,845.60 is: 284,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,781.60 : 704,881.20 = 189,845.60 : x
  2. Step 2: Convert to fraction form
    469,781.60/704,881.20 = 189,845.60/x
  3. Step 3: Cross multiply
    469,781.60x = 704,881.20 × 189,845.60
  4. Step 4: Simplify right side
    469,781.60x = 133,818,594,342.72
  5. Step 5: Solve for x
    x = 133,818,594,342.72/469,781.60
  6. Step 6: Final answer
    x = 284,852.78

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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.