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Finding the Fourth Proportional to 271,532.32, 406,935.73 and 143,186.86

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Solution

The fourth proportional to 271,532.32, 406,935.73 and 143,186.86 is: 214,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,532.32 : 406,935.73 = 143,186.86 : x
  2. Step 2: Convert to fraction form
    271,532.32/406,935.73 = 143,186.86/x
  3. Step 3: Cross multiply
    271,532.32x = 406,935.73 × 143,186.86
  4. Step 4: Simplify right side
    271,532.32x = 58,267,849,400.51
  5. Step 5: Solve for x
    x = 58,267,849,400.51/271,532.32
  6. Step 6: Final answer
    x = 214,589.00

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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.