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Finding the Fourth Proportional to 287,834.76, 397,213.53 and 158,777.80

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Solution

The fourth proportional to 287,834.76, 397,213.53 and 158,777.80 is: 219,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,834.76 : 397,213.53 = 158,777.80 : x
  2. Step 2: Convert to fraction form
    287,834.76/397,213.53 = 158,777.80/x
  3. Step 3: Cross multiply
    287,834.76x = 397,213.53 × 158,777.80
  4. Step 4: Simplify right side
    287,834.76x = 63,068,690,423.63
  5. Step 5: Solve for x
    x = 63,068,690,423.63/287,834.76
  6. Step 6: Final answer
    x = 219,114.23

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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.