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Finding the Fourth Proportional to 398,615.54, 597,920.77 and 145,913.63

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Solution

The fourth proportional to 398,615.54, 597,920.77 and 145,913.63 is: 218,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,615.54 : 597,920.77 = 145,913.63 : x
  2. Step 2: Convert to fraction form
    398,615.54/597,920.77 = 145,913.63/x
  3. Step 3: Cross multiply
    398,615.54x = 597,920.77 × 145,913.63
  4. Step 4: Simplify right side
    398,615.54x = 87,244,786,648.71
  5. Step 5: Solve for x
    x = 87,244,786,648.71/398,615.54
  6. Step 6: Final answer
    x = 218,869.51

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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.