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Finding the Fourth Proportional to 462,090.16, 691,558.16 and 387,294.76

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Solution

The fourth proportional to 462,090.16, 691,558.16 and 387,294.76 is: 579,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,090.16 : 691,558.16 = 387,294.76 : x
  2. Step 2: Convert to fraction form
    462,090.16/691,558.16 = 387,294.76/x
  3. Step 3: Cross multiply
    462,090.16x = 691,558.16 × 387,294.76
  4. Step 4: Simplify right side
    462,090.16x = 267,836,848,145.45
  5. Step 5: Solve for x
    x = 267,836,848,145.45/462,090.16
  6. Step 6: Final answer
    x = 579,620.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.