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Finding the Fourth Proportional to 523,166.10, 721,922.13 and 305,393.67

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Solution

The fourth proportional to 523,166.10, 721,922.13 and 305,393.67 is: 421,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,166.10 : 721,922.13 = 305,393.67 : x
  2. Step 2: Convert to fraction form
    523,166.10/721,922.13 = 305,393.67/x
  3. Step 3: Cross multiply
    523,166.10x = 721,922.13 × 305,393.67
  4. Step 4: Simplify right side
    523,166.10x = 220,470,448,734.92
  5. Step 5: Solve for x
    x = 220,470,448,734.92/523,166.10
  6. Step 6: Final answer
    x = 421,415.78

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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.