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Finding the Fourth Proportional to 288,816.96, 433,126.80 and 146,607.60

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Solution

The fourth proportional to 288,816.96, 433,126.80 and 146,607.60 is: 219,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,816.96 : 433,126.80 = 146,607.60 : x
  2. Step 2: Convert to fraction form
    288,816.96/433,126.80 = 146,607.60/x
  3. Step 3: Cross multiply
    288,816.96x = 433,126.80 × 146,607.60
  4. Step 4: Simplify right side
    288,816.96x = 63,499,680,643.68
  5. Step 5: Solve for x
    x = 63,499,680,643.68/288,816.96
  6. Step 6: Final answer
    x = 219,861.33

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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.