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Finding the Fourth Proportional to 291,827.70, 438,069.60 and 225,561.60

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Solution

The fourth proportional to 291,827.70, 438,069.60 and 225,561.60 is: 338,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,827.70 : 438,069.60 = 225,561.60 : x
  2. Step 2: Convert to fraction form
    291,827.70/438,069.60 = 225,561.60/x
  3. Step 3: Cross multiply
    291,827.70x = 438,069.60 × 225,561.60
  4. Step 4: Simplify right side
    291,827.70x = 98,811,679,887.36
  5. Step 5: Solve for x
    x = 98,811,679,887.36/291,827.70
  6. Step 6: Final answer
    x = 338,595.96

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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.