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Finding the Fourth Proportional to 381,128.57, 525,953.84 and 209,043.01

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Solution

The fourth proportional to 381,128.57, 525,953.84 and 209,043.01 is: 288,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,128.57 : 525,953.84 = 209,043.01 : x
  2. Step 2: Convert to fraction form
    381,128.57/525,953.84 = 209,043.01/x
  3. Step 3: Cross multiply
    381,128.57x = 525,953.84 × 209,043.01
  4. Step 4: Simplify right side
    381,128.57x = 109,946,973,834.66
  5. Step 5: Solve for x
    x = 109,946,973,834.66/381,128.57
  6. Step 6: Final answer
    x = 288,477.39

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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.