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Finding the Fourth Proportional to 543,384, 749,835.36 and 301,671.36

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Solution

The fourth proportional to 543,384, 749,835.36 and 301,671.36 is: 416,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,384 : 749,835.36 = 301,671.36 : x
  2. Step 2: Convert to fraction form
    543,384/749,835.36 = 301,671.36/x
  3. Step 3: Cross multiply
    543,384x = 749,835.36 × 301,671.36
  4. Step 4: Simplify right side
    543,384x = 226,203,852,827.29
  5. Step 5: Solve for x
    x = 226,203,852,827.29/543,384
  6. Step 6: Final answer
    x = 416,287.29

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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.