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Finding the Fourth Proportional to 459,427.65, 689,338.76 and 159,744.86

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Solution

The fourth proportional to 459,427.65, 689,338.76 and 159,744.86 is: 239,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,427.65 : 689,338.76 = 159,744.86 : x
  2. Step 2: Convert to fraction form
    459,427.65/689,338.76 = 159,744.86/x
  3. Step 3: Cross multiply
    459,427.65x = 689,338.76 × 159,744.86
  4. Step 4: Simplify right side
    459,427.65x = 110,118,322,048.38
  5. Step 5: Solve for x
    x = 110,118,322,048.38/459,427.65
  6. Step 6: Final answer
    x = 239,685.89

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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.