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Finding the Fourth Proportional to 470,915, 706,296.66 and 129,278.68

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Solution

The fourth proportional to 470,915, 706,296.66 and 129,278.68 is: 193,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,915 : 706,296.66 = 129,278.68 : x
  2. Step 2: Convert to fraction form
    470,915/706,296.66 = 129,278.68/x
  3. Step 3: Cross multiply
    470,915x = 706,296.66 × 129,278.68
  4. Step 4: Simplify right side
    470,915x = 91,309,099,893.21
  5. Step 5: Solve for x
    x = 91,309,099,893.21/470,915
  6. Step 6: Final answer
    x = 193,897.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.