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Finding the Fourth Proportional to 355,870.80, 533,804.04 and 142,734.96

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Solution

The fourth proportional to 355,870.80, 533,804.04 and 142,734.96 is: 214,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,870.80 : 533,804.04 = 142,734.96 : x
  2. Step 2: Convert to fraction form
    355,870.80/533,804.04 = 142,734.96/x
  3. Step 3: Cross multiply
    355,870.80x = 533,804.04 × 142,734.96
  4. Step 4: Simplify right side
    355,870.80x = 76,192,498,297.24
  5. Step 5: Solve for x
    x = 76,192,498,297.24/355,870.80
  6. Step 6: Final answer
    x = 214,101.57

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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.