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Finding the Fourth Proportional to 289,048.80, 433,281.60 and 131,390.40

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Solution

The fourth proportional to 289,048.80, 433,281.60 and 131,390.40 is: 196,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,048.80 : 433,281.60 = 131,390.40 : x
  2. Step 2: Convert to fraction form
    289,048.80/433,281.60 = 131,390.40/x
  3. Step 3: Cross multiply
    289,048.80x = 433,281.60 × 131,390.40
  4. Step 4: Simplify right side
    289,048.80x = 56,929,042,736.64
  5. Step 5: Solve for x
    x = 56,929,042,736.64/289,048.80
  6. Step 6: Final answer
    x = 196,953.05

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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.