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Finding the Fourth Proportional to 296,290.63, 408,495.04 and 188,821.45

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Solution

The fourth proportional to 296,290.63, 408,495.04 and 188,821.45 is: 260,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,290.63 : 408,495.04 = 188,821.45 : x
  2. Step 2: Convert to fraction form
    296,290.63/408,495.04 = 188,821.45/x
  3. Step 3: Cross multiply
    296,290.63x = 408,495.04 × 188,821.45
  4. Step 4: Simplify right side
    296,290.63x = 77,132,625,770.61
  5. Step 5: Solve for x
    x = 77,132,625,770.61/296,290.63
  6. Step 6: Final answer
    x = 260,327.59

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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.