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Finding the Fourth Proportional to 354,667.80, 531,710.10 and 188,455.80

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Solution

The fourth proportional to 354,667.80, 531,710.10 and 188,455.80 is: 282,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,667.80 : 531,710.10 = 188,455.80 : x
  2. Step 2: Convert to fraction form
    354,667.80/531,710.10 = 188,455.80/x
  3. Step 3: Cross multiply
    354,667.80x = 531,710.10 × 188,455.80
  4. Step 4: Simplify right side
    354,667.80x = 100,203,852,263.58
  5. Step 5: Solve for x
    x = 100,203,852,263.58/354,667.80
  6. Step 6: Final answer
    x = 282,528.76

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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.