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Finding the Fourth Proportional to 428,778.08, 591,698.85 and 237,809.24

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Solution

The fourth proportional to 428,778.08, 591,698.85 and 237,809.24 is: 328,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,778.08 : 591,698.85 = 237,809.24 : x
  2. Step 2: Convert to fraction form
    428,778.08/591,698.85 = 237,809.24/x
  3. Step 3: Cross multiply
    428,778.08x = 591,698.85 × 237,809.24
  4. Step 4: Simplify right side
    428,778.08x = 140,711,453,827.37
  5. Step 5: Solve for x
    x = 140,711,453,827.37/428,778.08
  6. Step 6: Final answer
    x = 328,168.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.