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Finding the Fourth Proportional to 288,646.94, 433,040.83 and 203,423.91

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Solution

The fourth proportional to 288,646.94, 433,040.83 and 203,423.91 is: 305,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,646.94 : 433,040.83 = 203,423.91 : x
  2. Step 2: Convert to fraction form
    288,646.94/433,040.83 = 203,423.91/x
  3. Step 3: Cross multiply
    288,646.94x = 433,040.83 × 203,423.91
  4. Step 4: Simplify right side
    288,646.94x = 88,090,858,828.25
  5. Step 5: Solve for x
    x = 88,090,858,828.25/288,646.94
  6. Step 6: Final answer
    x = 305,185.49

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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.