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Finding the Fourth Proportional to 470,580.52, 649,399.74 and 255,720.64

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Solution

The fourth proportional to 470,580.52, 649,399.74 and 255,720.64 is: 352,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,580.52 : 649,399.74 = 255,720.64 : x
  2. Step 2: Convert to fraction form
    470,580.52/649,399.74 = 255,720.64/x
  3. Step 3: Cross multiply
    470,580.52x = 649,399.74 × 255,720.64
  4. Step 4: Simplify right side
    470,580.52x = 166,064,917,128.63
  5. Step 5: Solve for x
    x = 166,064,917,128.63/470,580.52
  6. Step 6: Final answer
    x = 352,893.73

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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.