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Finding the Fourth Proportional to 363,804.45, 502,055.33 and 208,780.98

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Solution

The fourth proportional to 363,804.45, 502,055.33 and 208,780.98 is: 288,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,804.45 : 502,055.33 = 208,780.98 : x
  2. Step 2: Convert to fraction form
    363,804.45/502,055.33 = 208,780.98/x
  3. Step 3: Cross multiply
    363,804.45x = 502,055.33 × 208,780.98
  4. Step 4: Simplify right side
    363,804.45x = 104,819,602,767.72
  5. Step 5: Solve for x
    x = 104,819,602,767.72/363,804.45
  6. Step 6: Final answer
    x = 288,120.73

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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.