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Finding the Fourth Proportional to 459,589.48, 689,392.86 and 144,039.40

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Solution

The fourth proportional to 459,589.48, 689,392.86 and 144,039.40 is: 216,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,589.48 : 689,392.86 = 144,039.40 : x
  2. Step 2: Convert to fraction form
    459,589.48/689,392.86 = 144,039.40/x
  3. Step 3: Cross multiply
    459,589.48x = 689,392.86 × 144,039.40
  4. Step 4: Simplify right side
    459,589.48x = 99,299,733,918.68
  5. Step 5: Solve for x
    x = 99,299,733,918.68/459,589.48
  6. Step 6: Final answer
    x = 216,061.81

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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.