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Finding the Fourth Proportional to 280,234.77, 386,720.78 and 152,912.49

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Solution

The fourth proportional to 280,234.77, 386,720.78 and 152,912.49 is: 211,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,234.77 : 386,720.78 = 152,912.49 : x
  2. Step 2: Convert to fraction form
    280,234.77/386,720.78 = 152,912.49/x
  3. Step 3: Cross multiply
    280,234.77x = 386,720.78 × 152,912.49
  4. Step 4: Simplify right side
    280,234.77x = 59,134,436,639.98
  5. Step 5: Solve for x
    x = 59,134,436,639.98/280,234.77
  6. Step 6: Final answer
    x = 211,017.49

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1.5x scale

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.