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Finding the Fourth Proportional to 428,909.50, 643,364.27 and 293,840.38

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Solution

The fourth proportional to 428,909.50, 643,364.27 and 293,840.38 is: 440,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,909.50 : 643,364.27 = 293,840.38 : x
  2. Step 2: Convert to fraction form
    428,909.50/643,364.27 = 293,840.38/x
  3. Step 3: Cross multiply
    428,909.50x = 643,364.27 × 293,840.38
  4. Step 4: Simplify right side
    428,909.50x = 189,046,401,575.22
  5. Step 5: Solve for x
    x = 189,046,401,575.22/428,909.50
  6. Step 6: Final answer
    x = 440,760.58

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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.