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Finding the Fourth Proportional to 459,850.34, 689,774.24 and 144,330.86

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Solution

The fourth proportional to 459,850.34, 689,774.24 and 144,330.86 is: 216,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,850.34 : 689,774.24 = 144,330.86 : x
  2. Step 2: Convert to fraction form
    459,850.34/689,774.24 = 144,330.86/x
  3. Step 3: Cross multiply
    459,850.34x = 689,774.24 × 144,330.86
  4. Step 4: Simplify right side
    459,850.34x = 99,555,709,265.05
  5. Step 5: Solve for x
    x = 99,555,709,265.05/459,850.34
  6. Step 6: Final answer
    x = 216,495.89

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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.