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Finding the Fourth Proportional to 768,267.84, 1,060,082.64 and 428,735.20

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Solution

The fourth proportional to 768,267.84, 1,060,082.64 and 428,735.20 is: 591,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,267.84 : 1,060,082.64 = 428,735.20 : x
  2. Step 2: Convert to fraction form
    768,267.84/1,060,082.64 = 428,735.20/x
  3. Step 3: Cross multiply
    768,267.84x = 1,060,082.64 × 428,735.20
  4. Step 4: Simplify right side
    768,267.84x = 454,494,742,676.93
  5. Step 5: Solve for x
    x = 454,494,742,676.93/768,267.84
  6. Step 6: Final answer
    x = 591,583.71

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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.