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Finding the Fourth Proportional to 278,953.71, 384,956.67 and 151,629

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Solution

The fourth proportional to 278,953.71, 384,956.67 and 151,629 is: 209,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,953.71 : 384,956.67 = 151,629 : x
  2. Step 2: Convert to fraction form
    278,953.71/384,956.67 = 151,629/x
  3. Step 3: Cross multiply
    278,953.71x = 384,956.67 × 151,629
  4. Step 4: Simplify right side
    278,953.71x = 58,370,594,915.43
  5. Step 5: Solve for x
    x = 58,370,594,915.43/278,953.71
  6. Step 6: Final answer
    x = 209,248.32

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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.