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Finding the Fourth Proportional to 287,877.65, 431,816.47 and 280,004.45

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Solution

The fourth proportional to 287,877.65, 431,816.47 and 280,004.45 is: 420,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,877.65 : 431,816.47 = 280,004.45 : x
  2. Step 2: Convert to fraction form
    287,877.65/431,816.47 = 280,004.45/x
  3. Step 3: Cross multiply
    287,877.65x = 431,816.47 × 280,004.45
  4. Step 4: Simplify right side
    287,877.65x = 120,910,530,324.20
  5. Step 5: Solve for x
    x = 120,910,530,324.20/287,877.65
  6. Step 6: Final answer
    x = 420,006.67

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1.5x scale

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.