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Finding the Fourth Proportional to 381,128.61, 525,953.88 and 209,043.06

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Solution

The fourth proportional to 381,128.61, 525,953.88 and 209,043.06 is: 288,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,128.61 : 525,953.88 = 209,043.06 : x
  2. Step 2: Convert to fraction form
    381,128.61/525,953.88 = 209,043.06/x
  3. Step 3: Cross multiply
    381,128.61x = 525,953.88 × 209,043.06
  4. Step 4: Simplify right side
    381,128.61x = 109,947,008,494.07
  5. Step 5: Solve for x
    x = 109,947,008,494.07/381,128.61
  6. Step 6: Final answer
    x = 288,477.45

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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.