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Finding the Fourth Proportional to 459,329.40, 689,015.70 and 143,796.60

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Solution

The fourth proportional to 459,329.40, 689,015.70 and 143,796.60 is: 215,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,329.40 : 689,015.70 = 143,796.60 : x
  2. Step 2: Convert to fraction form
    459,329.40/689,015.70 = 143,796.60/x
  3. Step 3: Cross multiply
    459,329.40x = 689,015.70 × 143,796.60
  4. Step 4: Simplify right side
    459,329.40x = 99,078,115,006.62
  5. Step 5: Solve for x
    x = 99,078,115,006.62/459,329.40
  6. Step 6: Final answer
    x = 215,701.66

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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.