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Finding the Fourth Proportional to 499,289.40, 748,958.40 and 139,459.86

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Solution

The fourth proportional to 499,289.40, 748,958.40 and 139,459.86 is: 209,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,289.40 : 748,958.40 = 139,459.86 : x
  2. Step 2: Convert to fraction form
    499,289.40/748,958.40 = 139,459.86/x
  3. Step 3: Cross multiply
    499,289.40x = 748,958.40 × 139,459.86
  4. Step 4: Simplify right side
    499,289.40x = 104,449,633,609.82
  5. Step 5: Solve for x
    x = 104,449,633,609.82/499,289.40
  6. Step 6: Final answer
    x = 209,196.58

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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.