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Finding the Fourth Proportional to 470,280.78, 648,992.16 and 255,425.04

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Solution

The fourth proportional to 470,280.78, 648,992.16 and 255,425.04 is: 352,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,280.78 : 648,992.16 = 255,425.04 : x
  2. Step 2: Convert to fraction form
    470,280.78/648,992.16 = 255,425.04/x
  3. Step 3: Cross multiply
    470,280.78x = 648,992.16 × 255,425.04
  4. Step 4: Simplify right side
    470,280.78x = 165,768,848,427.69
  5. Step 5: Solve for x
    x = 165,768,848,427.69/470,280.78
  6. Step 6: Final answer
    x = 352,489.10

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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.