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Finding the Fourth Proportional to 309,021.30, 463,531.95 and 143,133.30

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Solution

The fourth proportional to 309,021.30, 463,531.95 and 143,133.30 is: 214,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,021.30 : 463,531.95 = 143,133.30 : x
  2. Step 2: Convert to fraction form
    309,021.30/463,531.95 = 143,133.30/x
  3. Step 3: Cross multiply
    309,021.30x = 463,531.95 × 143,133.30
  4. Step 4: Simplify right side
    309,021.30x = 66,346,857,658.94
  5. Step 5: Solve for x
    x = 66,346,857,658.94/309,021.30
  6. Step 6: Final answer
    x = 214,699.95

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Similar ratio
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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.