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Finding the Fourth Proportional to 305,416, 421,520.16 and 186,253.12

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Solution

The fourth proportional to 305,416, 421,520.16 and 186,253.12 is: 257,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416 : 421,520.16 = 186,253.12 : x
  2. Step 2: Convert to fraction form
    305,416/421,520.16 = 186,253.12/x
  3. Step 3: Cross multiply
    305,416x = 421,520.16 × 186,253.12
  4. Step 4: Simplify right side
    305,416x = 78,509,444,942.90
  5. Step 5: Solve for x
    x = 78,509,444,942.90/305,416
  6. Step 6: Final answer
    x = 257,057.41

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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.