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Finding the Fourth Proportional to 389,045.84, 536,872.56 and 216,969.04

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Solution

The fourth proportional to 389,045.84, 536,872.56 and 216,969.04 is: 299,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,045.84 : 536,872.56 = 216,969.04 : x
  2. Step 2: Convert to fraction form
    389,045.84/536,872.56 = 216,969.04/x
  3. Step 3: Cross multiply
    389,045.84x = 536,872.56 × 216,969.04
  4. Step 4: Simplify right side
    389,045.84x = 116,484,723,945.54
  5. Step 5: Solve for x
    x = 116,484,723,945.54/389,045.84
  6. Step 6: Final answer
    x = 299,411.31

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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.