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Finding the Fourth Proportional to 459,748.80, 689,212.80 and 179,200.80

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Solution

The fourth proportional to 459,748.80, 689,212.80 and 179,200.80 is: 268,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,748.80 : 689,212.80 = 179,200.80 : x
  2. Step 2: Convert to fraction form
    459,748.80/689,212.80 = 179,200.80/x
  3. Step 3: Cross multiply
    459,748.80x = 689,212.80 × 179,200.80
  4. Step 4: Simplify right side
    459,748.80x = 123,507,485,130.24
  5. Step 5: Solve for x
    x = 123,507,485,130.24/459,748.80
  6. Step 6: Final answer
    x = 268,641.23

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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.