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Finding the Fourth Proportional to 510,318.83, 704,119.84 and 428,956.36

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Solution

The fourth proportional to 510,318.83, 704,119.84 and 428,956.36 is: 591,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,318.83 : 704,119.84 = 428,956.36 : x
  2. Step 2: Convert to fraction form
    510,318.83/704,119.84 = 428,956.36/x
  3. Step 3: Cross multiply
    510,318.83x = 704,119.84 × 428,956.36
  4. Step 4: Simplify right side
    510,318.83x = 302,036,680,737.49
  5. Step 5: Solve for x
    x = 302,036,680,737.49/510,318.83
  6. Step 6: Final answer
    x = 591,858.78

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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.