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Finding the Fourth Proportional to 243,505.68, 364,755.34 and 143,357.28

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Solution

The fourth proportional to 243,505.68, 364,755.34 and 143,357.28 is: 214,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,505.68 : 364,755.34 = 143,357.28 : x
  2. Step 2: Convert to fraction form
    243,505.68/364,755.34 = 143,357.28/x
  3. Step 3: Cross multiply
    243,505.68x = 364,755.34 × 143,357.28
  4. Step 4: Simplify right side
    243,505.68x = 52,290,333,407.88
  5. Step 5: Solve for x
    x = 52,290,333,407.88/243,505.68
  6. Step 6: Final answer
    x = 214,739.69

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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.