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Finding the Fourth Proportional to 389,011.63, 536,838.39 and 216,940.47

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Solution

The fourth proportional to 389,011.63, 536,838.39 and 216,940.47 is: 299,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,011.63 : 536,838.39 = 216,940.47 : x
  2. Step 2: Convert to fraction form
    389,011.63/536,838.39 = 216,940.47/x
  3. Step 3: Cross multiply
    389,011.63x = 536,838.39 × 216,940.47
  4. Step 4: Simplify right side
    389,011.63x = 116,461,974,567.27
  5. Step 5: Solve for x
    x = 116,461,974,567.27/389,011.63
  6. Step 6: Final answer
    x = 299,379.16

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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.