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Finding the Fourth Proportional to 459,323.40, 689,006.70 and 143,790.60

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Solution

The fourth proportional to 459,323.40, 689,006.70 and 143,790.60 is: 215,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,323.40 : 689,006.70 = 143,790.60 : x
  2. Step 2: Convert to fraction form
    459,323.40/689,006.70 = 143,790.60/x
  3. Step 3: Cross multiply
    459,323.40x = 689,006.70 × 143,790.60
  4. Step 4: Simplify right side
    459,323.40x = 99,072,686,797.02
  5. Step 5: Solve for x
    x = 99,072,686,797.02/459,323.40
  6. Step 6: Final answer
    x = 215,692.66

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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.