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Finding the Fourth Proportional to 597,180, 824,108.40 and 328,908

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Solution

The fourth proportional to 597,180, 824,108.40 and 328,908 is: 453,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,180 : 824,108.40 = 328,908 : x
  2. Step 2: Convert to fraction form
    597,180/824,108.40 = 328,908/x
  3. Step 3: Cross multiply
    597,180x = 824,108.40 × 328,908
  4. Step 4: Simplify right side
    597,180x = 271,055,845,627.20
  5. Step 5: Solve for x
    x = 271,055,845,627.20/597,180
  6. Step 6: Final answer
    x = 453,893.04

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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.