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Finding the Fourth Proportional to 397,189.17, 547,594.43 and 328,954.77

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Solution

The fourth proportional to 397,189.17, 547,594.43 and 328,954.77 is: 453,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,189.17 : 547,594.43 = 328,954.77 : x
  2. Step 2: Convert to fraction form
    397,189.17/547,594.43 = 328,954.77/x
  3. Step 3: Cross multiply
    397,189.17x = 547,594.43 × 328,954.77
  4. Step 4: Simplify right side
    397,189.17x = 180,133,798,129.16
  5. Step 5: Solve for x
    x = 180,133,798,129.16/397,189.17
  6. Step 6: Final answer
    x = 453,521.42

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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.