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Finding the Fourth Proportional to 278,909.34, 384,894.93 and 151,584.93

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Solution

The fourth proportional to 278,909.34, 384,894.93 and 151,584.93 is: 209,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,909.34 : 384,894.93 = 151,584.93 : x
  2. Step 2: Convert to fraction form
    278,909.34/384,894.93 = 151,584.93/x
  3. Step 3: Cross multiply
    278,909.34x = 384,894.93 × 151,584.93
  4. Step 4: Simplify right side
    278,909.34x = 58,344,271,021.40
  5. Step 5: Solve for x
    x = 58,344,271,021.40/278,909.34
  6. Step 6: Final answer
    x = 209,187.23

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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.