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Finding the Fourth Proportional to 272,298.24, 407,571.24 and 145,621.56

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Solution

The fourth proportional to 272,298.24, 407,571.24 and 145,621.56 is: 217,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,298.24 : 407,571.24 = 145,621.56 : x
  2. Step 2: Convert to fraction form
    272,298.24/407,571.24 = 145,621.56/x
  3. Step 3: Cross multiply
    272,298.24x = 407,571.24 × 145,621.56
  4. Step 4: Simplify right side
    272,298.24x = 59,351,159,779.93
  5. Step 5: Solve for x
    x = 59,351,159,779.93/272,298.24
  6. Step 6: Final answer
    x = 217,963.80

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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.