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Finding the Fourth Proportional to 280,724.88, 387,409.90 and 153,408.68

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Solution

The fourth proportional to 280,724.88, 387,409.90 and 153,408.68 is: 211,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,724.88 : 387,409.90 = 153,408.68 : x
  2. Step 2: Convert to fraction form
    280,724.88/387,409.90 = 153,408.68/x
  3. Step 3: Cross multiply
    280,724.88x = 387,409.90 × 153,408.68
  4. Step 4: Simplify right side
    280,724.88x = 59,432,041,377.93
  5. Step 5: Solve for x
    x = 59,432,041,377.93/280,724.88
  6. Step 6: Final answer
    x = 211,709.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.