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Finding the Fourth Proportional to 469,262.74, 647,412.87 and 308,205.10

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Solution

The fourth proportional to 469,262.74, 647,412.87 and 308,205.10 is: 425,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,262.74 : 647,412.87 = 308,205.10 : x
  2. Step 2: Convert to fraction form
    469,262.74/647,412.87 = 308,205.10/x
  3. Step 3: Cross multiply
    469,262.74x = 647,412.87 × 308,205.10
  4. Step 4: Simplify right side
    469,262.74x = 199,535,948,339.64
  5. Step 5: Solve for x
    x = 199,535,948,339.64/469,262.74
  6. Step 6: Final answer
    x = 425,211.57

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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.