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Finding the Fourth Proportional to 280,906.94, 421,402.47 and 103,400.42

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Solution

The fourth proportional to 280,906.94, 421,402.47 and 103,400.42 is: 155,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,906.94 : 421,402.47 = 103,400.42 : x
  2. Step 2: Convert to fraction form
    280,906.94/421,402.47 = 103,400.42/x
  3. Step 3: Cross multiply
    280,906.94x = 421,402.47 × 103,400.42
  4. Step 4: Simplify right side
    280,906.94x = 43,573,192,387.04
  5. Step 5: Solve for x
    x = 43,573,192,387.04/280,906.94
  6. Step 6: Final answer
    x = 155,116.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.