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Finding the Fourth Proportional to 320,453, 442,049.36 and 205,603.40

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Solution

The fourth proportional to 320,453, 442,049.36 and 205,603.40 is: 283,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,453 : 442,049.36 = 205,603.40 : x
  2. Step 2: Convert to fraction form
    320,453/442,049.36 = 205,603.40/x
  3. Step 3: Cross multiply
    320,453x = 442,049.36 × 205,603.40
  4. Step 4: Simplify right side
    320,453x = 90,886,851,383.82
  5. Step 5: Solve for x
    x = 90,886,851,383.82/320,453
  6. Step 6: Final answer
    x = 283,619.91

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1.5x scale

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.