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Finding the Fourth Proportional to 280,467.90, 420,606.47 and 90,876.87

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Solution

The fourth proportional to 280,467.90, 420,606.47 and 90,876.87 is: 136,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,467.90 : 420,606.47 = 90,876.87 : x
  2. Step 2: Convert to fraction form
    280,467.90/420,606.47 = 90,876.87/x
  3. Step 3: Cross multiply
    280,467.90x = 420,606.47 × 90,876.87
  4. Step 4: Simplify right side
    280,467.90x = 38,223,399,722.54
  5. Step 5: Solve for x
    x = 38,223,399,722.54/280,467.90
  6. Step 6: Final answer
    x = 136,284.40

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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.