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Finding the Fourth Proportional to 319,367.20, 478,532.40 and 200,826.40

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Solution

The fourth proportional to 319,367.20, 478,532.40 and 200,826.40 is: 300,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,367.20 : 478,532.40 = 200,826.40 : x
  2. Step 2: Convert to fraction form
    319,367.20/478,532.40 = 200,826.40/x
  3. Step 3: Cross multiply
    319,367.20x = 478,532.40 × 200,826.40
  4. Step 4: Simplify right side
    319,367.20x = 96,101,939,175.36
  5. Step 5: Solve for x
    x = 96,101,939,175.36/319,367.20
  6. Step 6: Final answer
    x = 300,913.62

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1.5x scale

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.