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Finding the Fourth Proportional to 309,021.80, 463,532.70 and 143,133.80

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Solution

The fourth proportional to 309,021.80, 463,532.70 and 143,133.80 is: 214,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,021.80 : 463,532.70 = 143,133.80 : x
  2. Step 2: Convert to fraction form
    309,021.80/463,532.70 = 143,133.80/x
  3. Step 3: Cross multiply
    309,021.80x = 463,532.70 × 143,133.80
  4. Step 4: Simplify right side
    309,021.80x = 66,347,196,775.26
  5. Step 5: Solve for x
    x = 66,347,196,775.26/309,021.80
  6. Step 6: Final answer
    x = 214,700.70

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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.