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Finding the Fourth Proportional to 280,493.46, 387,114.15 and 157,989.84

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Solution

The fourth proportional to 280,493.46, 387,114.15 and 157,989.84 is: 218,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,493.46 : 387,114.15 = 157,989.84 : x
  2. Step 2: Convert to fraction form
    280,493.46/387,114.15 = 157,989.84/x
  3. Step 3: Cross multiply
    280,493.46x = 387,114.15 × 157,989.84
  4. Step 4: Simplify right side
    280,493.46x = 61,160,102,620.24
  5. Step 5: Solve for x
    x = 61,160,102,620.24/280,493.46
  6. Step 6: Final answer
    x = 218,044.67

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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.