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Finding the Fourth Proportional to 278,129.88, 383,815.53 and 150,802.74

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Solution

The fourth proportional to 278,129.88, 383,815.53 and 150,802.74 is: 208,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,129.88 : 383,815.53 = 150,802.74 : x
  2. Step 2: Convert to fraction form
    278,129.88/383,815.53 = 150,802.74/x
  3. Step 3: Cross multiply
    278,129.88x = 383,815.53 × 150,802.74
  4. Step 4: Simplify right side
    278,129.88x = 57,880,433,578.55
  5. Step 5: Solve for x
    x = 57,880,433,578.55/278,129.88
  6. Step 6: Final answer
    x = 208,105.77

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1.5x scale

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.