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Finding the Fourth Proportional to 490,333.68, 735,548.22 and 190,838.61

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Solution

The fourth proportional to 490,333.68, 735,548.22 and 190,838.61 is: 286,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,333.68 : 735,548.22 = 190,838.61 : x
  2. Step 2: Convert to fraction form
    490,333.68/735,548.22 = 190,838.61/x
  3. Step 3: Cross multiply
    490,333.68x = 735,548.22 × 190,838.61
  4. Step 4: Simplify right side
    490,333.68x = 140,370,999,892.77
  5. Step 5: Solve for x
    x = 140,370,999,892.77/490,333.68
  6. Step 6: Final answer
    x = 286,276.48

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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.