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Finding the Fourth Proportional to 428,851.14, 591,814.90 and 237,865.90

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Solution

The fourth proportional to 428,851.14, 591,814.90 and 237,865.90 is: 328,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,851.14 : 591,814.90 = 237,865.90 : x
  2. Step 2: Convert to fraction form
    428,851.14/591,814.90 = 237,865.90/x
  3. Step 3: Cross multiply
    428,851.14x = 591,814.90 × 237,865.90
  4. Step 4: Simplify right side
    428,851.14x = 140,772,583,821.91
  5. Step 5: Solve for x
    x = 140,772,583,821.91/428,851.14
  6. Step 6: Final answer
    x = 328,255.12

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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.