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Finding the Fourth Proportional to 461,808, 692,828.64 and 129,384

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Solution

The fourth proportional to 461,808, 692,828.64 and 129,384 is: 194,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,808 : 692,828.64 = 129,384 : x
  2. Step 2: Convert to fraction form
    461,808/692,828.64 = 129,384/x
  3. Step 3: Cross multiply
    461,808x = 692,828.64 × 129,384
  4. Step 4: Simplify right side
    461,808x = 89,640,940,757.76
  5. Step 5: Solve for x
    x = 89,640,940,757.76/461,808
  6. Step 6: Final answer
    x = 194,108.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.