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Finding the Fourth Proportional to 654,065.20, 902,684.82 and 363,705.76

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Solution

The fourth proportional to 654,065.20, 902,684.82 and 363,705.76 is: 501,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,065.20 : 902,684.82 = 363,705.76 : x
  2. Step 2: Convert to fraction form
    654,065.20/902,684.82 = 363,705.76/x
  3. Step 3: Cross multiply
    654,065.20x = 902,684.82 × 363,705.76
  4. Step 4: Simplify right side
    654,065.20x = 328,311,668,498.56
  5. Step 5: Solve for x
    x = 328,311,668,498.56/654,065.20
  6. Step 6: Final answer
    x = 501,955.57

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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.