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Finding the Fourth Proportional to 428,851.14, 591,814.91 and 237,865.91

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Solution

The fourth proportional to 428,851.14, 591,814.91 and 237,865.91 is: 328,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,851.14 : 591,814.91 = 237,865.91 : x
  2. Step 2: Convert to fraction form
    428,851.14/591,814.91 = 237,865.91/x
  3. Step 3: Cross multiply
    428,851.14x = 591,814.91 × 237,865.91
  4. Step 4: Simplify right side
    428,851.14x = 140,772,587,970.31
  5. Step 5: Solve for x
    x = 140,772,587,970.31/428,851.14
  6. Step 6: Final answer
    x = 328,255.13

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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.