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Finding the Fourth Proportional to 298,108.36, 446,637.64 and 280,349.92

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Solution

The fourth proportional to 298,108.36, 446,637.64 and 280,349.92 is: 420,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,108.36 : 446,637.64 = 280,349.92 : x
  2. Step 2: Convert to fraction form
    298,108.36/446,637.64 = 280,349.92/x
  3. Step 3: Cross multiply
    298,108.36x = 446,637.64 × 280,349.92
  4. Step 4: Simplify right side
    298,108.36x = 125,214,826,642.99
  5. Step 5: Solve for x
    x = 125,214,826,642.99/298,108.36
  6. Step 6: Final answer
    x = 420,031.25

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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.