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Finding the Fourth Proportional to 470,578.08, 649,401.72 and 255,718.32

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Solution

The fourth proportional to 470,578.08, 649,401.72 and 255,718.32 is: 352,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,578.08 : 649,401.72 = 255,718.32 : x
  2. Step 2: Convert to fraction form
    470,578.08/649,401.72 = 255,718.32/x
  3. Step 3: Cross multiply
    470,578.08x = 649,401.72 × 255,718.32
  4. Step 4: Simplify right side
    470,578.08x = 166,063,916,843.51
  5. Step 5: Solve for x
    x = 166,063,916,843.51/470,578.08
  6. Step 6: Final answer
    x = 352,893.44

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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.