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Finding the Fourth Proportional to 493,533.12, 739,988.64 and 418,679.52

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Solution

The fourth proportional to 493,533.12, 739,988.64 and 418,679.52 is: 627,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,533.12 : 739,988.64 = 418,679.52 : x
  2. Step 2: Convert to fraction form
    493,533.12/739,988.64 = 418,679.52/x
  3. Step 3: Cross multiply
    493,533.12x = 739,988.64 × 418,679.52
  4. Step 4: Simplify right side
    493,533.12x = 309,818,088,600.65
  5. Step 5: Solve for x
    x = 309,818,088,600.65/493,533.12
  6. Step 6: Final answer
    x = 627,755.42

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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.