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Finding the Fourth Proportional to 470,645.15, 649,495.32 and 255,785.22

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Solution

The fourth proportional to 470,645.15, 649,495.32 and 255,785.22 is: 352,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,645.15 : 649,495.32 = 255,785.22 : x
  2. Step 2: Convert to fraction form
    470,645.15/649,495.32 = 255,785.22/x
  3. Step 3: Cross multiply
    470,645.15x = 649,495.32 × 255,785.22
  4. Step 4: Simplify right side
    470,645.15x = 166,131,303,315.17
  5. Step 5: Solve for x
    x = 166,131,303,315.17/470,645.15
  6. Step 6: Final answer
    x = 352,986.33

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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.