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Finding the Fourth Proportional to 278,863.90, 384,830.35 and 151,539.48

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Solution

The fourth proportional to 278,863.90, 384,830.35 and 151,539.48 is: 209,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,863.90 : 384,830.35 = 151,539.48 : x
  2. Step 2: Convert to fraction form
    278,863.90/384,830.35 = 151,539.48/x
  3. Step 3: Cross multiply
    278,863.90x = 384,830.35 × 151,539.48
  4. Step 4: Simplify right side
    278,863.90x = 58,316,990,748.37
  5. Step 5: Solve for x
    x = 58,316,990,748.37/278,863.90
  6. Step 6: Final answer
    x = 209,123.49

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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.