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Finding the Fourth Proportional to 417,913.50, 576,720.64 and 239,065.50

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Solution

The fourth proportional to 417,913.50, 576,720.64 and 239,065.50 is: 329,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,913.50 : 576,720.64 = 239,065.50 : x
  2. Step 2: Convert to fraction form
    417,913.50/576,720.64 = 239,065.50/x
  3. Step 3: Cross multiply
    417,913.50x = 576,720.64 × 239,065.50
  4. Step 4: Simplify right side
    417,913.50x = 137,874,008,161.92
  5. Step 5: Solve for x
    x = 137,874,008,161.92/417,913.50
  6. Step 6: Final answer
    x = 329,910.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.