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Finding the Fourth Proportional to 407,687.58, 611,392.96 and 154,907.34

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Solution

The fourth proportional to 407,687.58, 611,392.96 and 154,907.34 is: 232,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,687.58 : 611,392.96 = 154,907.34 : x
  2. Step 2: Convert to fraction form
    407,687.58/611,392.96 = 154,907.34/x
  3. Step 3: Cross multiply
    407,687.58x = 611,392.96 × 154,907.34
  4. Step 4: Simplify right side
    407,687.58x = 94,709,255,029.24
  5. Step 5: Solve for x
    x = 94,709,255,029.24/407,687.58
  6. Step 6: Final answer
    x = 232,308.41

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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.