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Finding the Fourth Proportional to 213,386.24, 320,079.12 and 65,642.24

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Solution

The fourth proportional to 213,386.24, 320,079.12 and 65,642.24 is: 98,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,386.24 : 320,079.12 = 65,642.24 : x
  2. Step 2: Convert to fraction form
    213,386.24/320,079.12 = 65,642.24/x
  3. Step 3: Cross multiply
    213,386.24x = 320,079.12 × 65,642.24
  4. Step 4: Simplify right side
    213,386.24x = 21,010,710,414.03
  5. Step 5: Solve for x
    x = 21,010,710,414.03/213,386.24
  6. Step 6: Final answer
    x = 98,463.29

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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.