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Finding the Fourth Proportional to 512,030.70, 766,296.45 and 449,045.10

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Solution

The fourth proportional to 512,030.70, 766,296.45 and 449,045.10 is: 672,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,030.70 : 766,296.45 = 449,045.10 : x
  2. Step 2: Convert to fraction form
    512,030.70/766,296.45 = 449,045.10/x
  3. Step 3: Cross multiply
    512,030.70x = 766,296.45 × 449,045.10
  4. Step 4: Simplify right side
    512,030.70x = 344,101,666,019.90
  5. Step 5: Solve for x
    x = 344,101,666,019.90/512,030.70
  6. Step 6: Final answer
    x = 672,033.27

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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.