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Finding the Fourth Proportional to 463,711.64, 695,667.22 and 143,857.08

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Solution

The fourth proportional to 463,711.64, 695,667.22 and 143,857.08 is: 215,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,711.64 : 695,667.22 = 143,857.08 : x
  2. Step 2: Convert to fraction form
    463,711.64/695,667.22 = 143,857.08/x
  3. Step 3: Cross multiply
    463,711.64x = 695,667.22 × 143,857.08
  4. Step 4: Simplify right side
    463,711.64x = 100,076,654,561.28
  5. Step 5: Solve for x
    x = 100,076,654,561.28/463,711.64
  6. Step 6: Final answer
    x = 215,816.57

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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.