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Finding the Fourth Proportional to 377,905.75, 521,509.94 and 208,139.88

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Solution

The fourth proportional to 377,905.75, 521,509.94 and 208,139.88 is: 287,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,905.75 : 521,509.94 = 208,139.88 : x
  2. Step 2: Convert to fraction form
    377,905.75/521,509.94 = 208,139.88/x
  3. Step 3: Cross multiply
    377,905.75x = 521,509.94 × 208,139.88
  4. Step 4: Simplify right side
    377,905.75x = 108,547,016,330.41
  5. Step 5: Solve for x
    x = 108,547,016,330.41/377,905.75
  6. Step 6: Final answer
    x = 287,233.04

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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.