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Finding the Fourth Proportional to 289,606.48, 433,818.48 and 149,069.92

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Solution

The fourth proportional to 289,606.48, 433,818.48 and 149,069.92 is: 223,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,606.48 : 433,818.48 = 149,069.92 : x
  2. Step 2: Convert to fraction form
    289,606.48/433,818.48 = 149,069.92/x
  3. Step 3: Cross multiply
    289,606.48x = 433,818.48 × 149,069.92
  4. Step 4: Simplify right side
    289,606.48x = 64,669,286,108.12
  5. Step 5: Solve for x
    x = 64,669,286,108.12/289,606.48
  6. Step 6: Final answer
    x = 223,300.55

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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.