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Finding the Fourth Proportional to 704,658.96, 972,022.68 and 449,722.80

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Solution

The fourth proportional to 704,658.96, 972,022.68 and 449,722.80 is: 620,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,658.96 : 972,022.68 = 449,722.80 : x
  2. Step 2: Convert to fraction form
    704,658.96/972,022.68 = 449,722.80/x
  3. Step 3: Cross multiply
    704,658.96x = 972,022.68 × 449,722.80
  4. Step 4: Simplify right side
    704,658.96x = 437,140,761,313.10
  5. Step 5: Solve for x
    x = 437,140,761,313.10/704,658.96
  6. Step 6: Final answer
    x = 620,357.91

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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.