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Finding the Fourth Proportional to 506,930.70, 699,855.63 and 378,576.90

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Solution

The fourth proportional to 506,930.70, 699,855.63 and 378,576.90 is: 522,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,930.70 : 699,855.63 = 378,576.90 : x
  2. Step 2: Convert to fraction form
    506,930.70/699,855.63 = 378,576.90/x
  3. Step 3: Cross multiply
    506,930.70x = 699,855.63 × 378,576.90
  4. Step 4: Simplify right side
    506,930.70x = 264,949,174,852.95
  5. Step 5: Solve for x
    x = 264,949,174,852.95/506,930.70
  6. Step 6: Final answer
    x = 522,653.64

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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.