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Finding the Fourth Proportional to 213,390.24, 320,085.12 and 65,646.24

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Solution

The fourth proportional to 213,390.24, 320,085.12 and 65,646.24 is: 98,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,390.24 : 320,085.12 = 65,646.24 : x
  2. Step 2: Convert to fraction form
    213,390.24/320,085.12 = 65,646.24/x
  3. Step 3: Cross multiply
    213,390.24x = 320,085.12 × 65,646.24
  4. Step 4: Simplify right side
    213,390.24x = 21,012,384,607.95
  5. Step 5: Solve for x
    x = 21,012,384,607.95/213,390.24
  6. Step 6: Final answer
    x = 98,469.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.