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Finding the Fourth Proportional to 647,524.20, 893,541.60 and 361,027.20

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Solution

The fourth proportional to 647,524.20, 893,541.60 and 361,027.20 is: 498,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,524.20 : 893,541.60 = 361,027.20 : x
  2. Step 2: Convert to fraction form
    647,524.20/893,541.60 = 361,027.20/x
  3. Step 3: Cross multiply
    647,524.20x = 893,541.60 × 361,027.20
  4. Step 4: Simplify right side
    647,524.20x = 322,592,821,931.52
  5. Step 5: Solve for x
    x = 322,592,821,931.52/647,524.20
  6. Step 6: Final answer
    x = 498,194.23

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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.