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Finding the Fourth Proportional to 470,824.86, 649,745.69 and 255,965.74

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Solution

The fourth proportional to 470,824.86, 649,745.69 and 255,965.74 is: 353,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,824.86 : 649,745.69 = 255,965.74 : x
  2. Step 2: Convert to fraction form
    470,824.86/649,745.69 = 255,965.74/x
  3. Step 3: Cross multiply
    470,824.86x = 649,745.69 × 255,965.74
  4. Step 4: Simplify right side
    470,824.86x = 166,312,636,992.58
  5. Step 5: Solve for x
    x = 166,312,636,992.58/470,824.86
  6. Step 6: Final answer
    x = 353,236.74

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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.