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Finding the Fourth Proportional to 1,296,749.86, 1,945,218.20 and 498,031.41

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Solution

The fourth proportional to 1,296,749.86, 1,945,218.20 and 498,031.41 is: 747,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,749.86 : 1,945,218.20 = 498,031.41 : x
  2. Step 2: Convert to fraction form
    1,296,749.86/1,945,218.20 = 498,031.41/x
  3. Step 3: Cross multiply
    1,296,749.86x = 1,945,218.20 × 498,031.41
  4. Step 4: Simplify right side
    1,296,749.86x = 968,779,762,903.66
  5. Step 5: Solve for x
    x = 968,779,762,903.66/1,296,749.86
  6. Step 6: Final answer
    x = 747,082.99

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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.