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Finding the Fourth Proportional to 429,293.82, 643,940.73 and 148,811.07

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Solution

The fourth proportional to 429,293.82, 643,940.73 and 148,811.07 is: 223,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,293.82 : 643,940.73 = 148,811.07 : x
  2. Step 2: Convert to fraction form
    429,293.82/643,940.73 = 148,811.07/x
  3. Step 3: Cross multiply
    429,293.82x = 643,940.73 × 148,811.07
  4. Step 4: Simplify right side
    429,293.82x = 95,825,509,047.88
  5. Step 5: Solve for x
    x = 95,825,509,047.88/429,293.82
  6. Step 6: Final answer
    x = 223,216.61

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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.