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Finding the Fourth Proportional to 605,419.32, 834,605.82 and 423,567.84

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Solution

The fourth proportional to 605,419.32, 834,605.82 and 423,567.84 is: 583,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,419.32 : 834,605.82 = 423,567.84 : x
  2. Step 2: Convert to fraction form
    605,419.32/834,605.82 = 423,567.84/x
  3. Step 3: Cross multiply
    605,419.32x = 834,605.82 × 423,567.84
  4. Step 4: Simplify right side
    605,419.32x = 353,512,184,428.83
  5. Step 5: Solve for x
    x = 353,512,184,428.83/605,419.32
  6. Step 6: Final answer
    x = 583,912.96

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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.