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Finding the Fourth Proportional to 278,886.10, 384,865.80 and 151,561.69

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Solution

The fourth proportional to 278,886.10, 384,865.80 and 151,561.69 is: 209,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,886.10 : 384,865.80 = 151,561.69 : x
  2. Step 2: Convert to fraction form
    278,886.10/384,865.80 = 151,561.69/x
  3. Step 3: Cross multiply
    278,886.10x = 384,865.80 × 151,561.69
  4. Step 4: Simplify right side
    278,886.10x = 58,330,911,071.20
  5. Step 5: Solve for x
    x = 58,330,911,071.20/278,886.10
  6. Step 6: Final answer
    x = 209,156.75

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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.