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Finding the Fourth Proportional to 459,671.67, 689,617.94 and 144,128.61

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Solution

The fourth proportional to 459,671.67, 689,617.94 and 144,128.61 is: 216,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,671.67 : 689,617.94 = 144,128.61 : x
  2. Step 2: Convert to fraction form
    459,671.67/689,617.94 = 144,128.61/x
  3. Step 3: Cross multiply
    459,671.67x = 689,617.94 × 144,128.61
  4. Step 4: Simplify right side
    459,671.67x = 99,393,674,402.62
  5. Step 5: Solve for x
    x = 99,393,674,402.62/459,671.67
  6. Step 6: Final answer
    x = 216,227.54

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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.