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Finding the Fourth Proportional to 459,361.30, 689,041.96 and 143,842.82

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Solution

The fourth proportional to 459,361.30, 689,041.96 and 143,842.82 is: 215,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,361.30 : 689,041.96 = 143,842.82 : x
  2. Step 2: Convert to fraction form
    459,361.30/689,041.96 = 143,842.82/x
  3. Step 3: Cross multiply
    459,361.30x = 689,041.96 × 143,842.82
  4. Step 4: Simplify right side
    459,361.30x = 99,113,738,624.73
  5. Step 5: Solve for x
    x = 99,113,738,624.73/459,361.30
  6. Step 6: Final answer
    x = 215,764.23

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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.