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Finding the Fourth Proportional to 407,977.56, 612,212.58 and 290,624.76

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Solution

The fourth proportional to 407,977.56, 612,212.58 and 290,624.76 is: 436,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,977.56 : 612,212.58 = 290,624.76 : x
  2. Step 2: Convert to fraction form
    407,977.56/612,212.58 = 290,624.76/x
  3. Step 3: Cross multiply
    407,977.56x = 612,212.58 × 290,624.76
  4. Step 4: Simplify right side
    407,977.56x = 177,924,134,131.48
  5. Step 5: Solve for x
    x = 177,924,134,131.48/407,977.56
  6. Step 6: Final answer
    x = 436,112.55

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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.