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Finding the Fourth Proportional to 428,798.42, 591,778.15 and 237,873.32

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Solution

The fourth proportional to 428,798.42, 591,778.15 and 237,873.32 is: 328,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,798.42 : 591,778.15 = 237,873.32 : x
  2. Step 2: Convert to fraction form
    428,798.42/591,778.15 = 237,873.32/x
  3. Step 3: Cross multiply
    428,798.42x = 591,778.15 × 237,873.32
  4. Step 4: Simplify right side
    428,798.42x = 140,768,230,285.07
  5. Step 5: Solve for x
    x = 140,768,230,285.07/428,798.42
  6. Step 6: Final answer
    x = 328,285.33

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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.