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Finding the Fourth Proportional to 269,379.60, 403,810.20 and 209,374.80

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Solution

The fourth proportional to 269,379.60, 403,810.20 and 209,374.80 is: 313,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,379.60 : 403,810.20 = 209,374.80 : x
  2. Step 2: Convert to fraction form
    269,379.60/403,810.20 = 209,374.80/x
  3. Step 3: Cross multiply
    269,379.60x = 403,810.20 × 209,374.80
  4. Step 4: Simplify right side
    269,379.60x = 84,547,679,862.96
  5. Step 5: Solve for x
    x = 84,547,679,862.96/269,379.60
  6. Step 6: Final answer
    x = 313,860.74

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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.