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Finding the Fourth Proportional to 428,809.12, 591,792.90 and 237,884

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Solution

The fourth proportional to 428,809.12, 591,792.90 and 237,884 is: 328,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,809.12 : 591,792.90 = 237,884 : x
  2. Step 2: Convert to fraction form
    428,809.12/591,792.90 = 237,884/x
  3. Step 3: Cross multiply
    428,809.12x = 591,792.90 × 237,884
  4. Step 4: Simplify right side
    428,809.12x = 140,778,062,223.60
  5. Step 5: Solve for x
    x = 140,778,062,223.60/428,809.12
  6. Step 6: Final answer
    x = 328,300.07

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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.