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Finding the Fourth Proportional to 291,830.70, 438,074.10 and 225,564.60

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Solution

The fourth proportional to 291,830.70, 438,074.10 and 225,564.60 is: 338,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,830.70 : 438,074.10 = 225,564.60 : x
  2. Step 2: Convert to fraction form
    291,830.70/438,074.10 = 225,564.60/x
  3. Step 3: Cross multiply
    291,830.70x = 438,074.10 × 225,564.60
  4. Step 4: Simplify right side
    291,830.70x = 98,814,009,136.86
  5. Step 5: Solve for x
    x = 98,814,009,136.86/291,830.70
  6. Step 6: Final answer
    x = 338,600.46

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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.