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Finding the Fourth Proportional to 428,813.88, 591,569.10 and 267,708.66

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Solution

The fourth proportional to 428,813.88, 591,569.10 and 267,708.66 is: 369,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,813.88 : 591,569.10 = 267,708.66 : x
  2. Step 2: Convert to fraction form
    428,813.88/591,569.10 = 267,708.66/x
  3. Step 3: Cross multiply
    428,813.88x = 591,569.10 × 267,708.66
  4. Step 4: Simplify right side
    428,813.88x = 158,368,171,058.41
  5. Step 5: Solve for x
    x = 158,368,171,058.41/428,813.88
  6. Step 6: Final answer
    x = 369,316.80

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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.