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Finding the Fourth Proportional to 280,341, 420,686.46 and 114,129

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Solution

The fourth proportional to 280,341, 420,686.46 and 114,129 is: 171,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,341 : 420,686.46 = 114,129 : x
  2. Step 2: Convert to fraction form
    280,341/420,686.46 = 114,129/x
  3. Step 3: Cross multiply
    280,341x = 420,686.46 × 114,129
  4. Step 4: Simplify right side
    280,341x = 48,012,524,993.34
  5. Step 5: Solve for x
    x = 48,012,524,993.34/280,341
  6. Step 6: Final answer
    x = 171,264.73

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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.