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Finding the Fourth Proportional to 289,756.80, 434,489.40 and 171,464.40

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Solution

The fourth proportional to 289,756.80, 434,489.40 and 171,464.40 is: 257,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,756.80 : 434,489.40 = 171,464.40 : x
  2. Step 2: Convert to fraction form
    289,756.80/434,489.40 = 171,464.40/x
  3. Step 3: Cross multiply
    289,756.80x = 434,489.40 × 171,464.40
  4. Step 4: Simplify right side
    289,756.80x = 74,499,464,277.36
  5. Step 5: Solve for x
    x = 74,499,464,277.36/289,756.80
  6. Step 6: Final answer
    x = 257,110.32

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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.