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Finding the Fourth Proportional to 289,762.20, 434,440.80 and 171,372.60

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Solution

The fourth proportional to 289,762.20, 434,440.80 and 171,372.60 is: 256,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,762.20 : 434,440.80 = 171,372.60 : x
  2. Step 2: Convert to fraction form
    289,762.20/434,440.80 = 171,372.60/x
  3. Step 3: Cross multiply
    289,762.20x = 434,440.80 × 171,372.60
  4. Step 4: Simplify right side
    289,762.20x = 74,451,249,442.08
  5. Step 5: Solve for x
    x = 74,451,249,442.08/289,762.20
  6. Step 6: Final answer
    x = 256,939.14

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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.