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Finding the Fourth Proportional to 405,106.80, 606,493.80 and 363,116.40

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Solution

The fourth proportional to 405,106.80, 606,493.80 and 363,116.40 is: 543,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,106.80 : 606,493.80 = 363,116.40 : x
  2. Step 2: Convert to fraction form
    405,106.80/606,493.80 = 363,116.40/x
  3. Step 3: Cross multiply
    405,106.80x = 606,493.80 × 363,116.40
  4. Step 4: Simplify right side
    405,106.80x = 220,227,845,278.32
  5. Step 5: Solve for x
    x = 220,227,845,278.32/405,106.80
  6. Step 6: Final answer
    x = 543,629.10

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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.