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Finding the Fourth Proportional to 470,408.60, 649,164.42 and 255,548.81

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Solution

The fourth proportional to 470,408.60, 649,164.42 and 255,548.81 is: 352,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,408.60 : 649,164.42 = 255,548.81 : x
  2. Step 2: Convert to fraction form
    470,408.60/649,164.42 = 255,548.81/x
  3. Step 3: Cross multiply
    470,408.60x = 649,164.42 × 255,548.81
  4. Step 4: Simplify right side
    470,408.60x = 165,893,191,779.52
  5. Step 5: Solve for x
    x = 165,893,191,779.52/470,408.60
  6. Step 6: Final answer
    x = 352,657.65

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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.