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Finding the Fourth Proportional to 288,921.60, 433,900.80 and 210,124.80

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Solution

The fourth proportional to 288,921.60, 433,900.80 and 210,124.80 is: 315,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,921.60 : 433,900.80 = 210,124.80 : x
  2. Step 2: Convert to fraction form
    288,921.60/433,900.80 = 210,124.80/x
  3. Step 3: Cross multiply
    288,921.60x = 433,900.80 × 210,124.80
  4. Step 4: Simplify right side
    288,921.60x = 91,173,318,819.84
  5. Step 5: Solve for x
    x = 91,173,318,819.84/288,921.60
  6. Step 6: Final answer
    x = 315,564.22

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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.