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Finding the Fourth Proportional to 523,862.64, 722,954.16 and 309,011.76

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Solution

The fourth proportional to 523,862.64, 722,954.16 and 309,011.76 is: 426,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,862.64 : 722,954.16 = 309,011.76 : x
  2. Step 2: Convert to fraction form
    523,862.64/722,954.16 = 309,011.76/x
  3. Step 3: Cross multiply
    523,862.64x = 722,954.16 × 309,011.76
  4. Step 4: Simplify right side
    523,862.64x = 223,401,337,380.92
  5. Step 5: Solve for x
    x = 223,401,337,380.92/523,862.64
  6. Step 6: Final answer
    x = 426,450.22

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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.