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Finding the Fourth Proportional to 411,314.60, 616,722.77 and 268,988.07

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Solution

The fourth proportional to 411,314.60, 616,722.77 and 268,988.07 is: 403,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,314.60 : 616,722.77 = 268,988.07 : x
  2. Step 2: Convert to fraction form
    411,314.60/616,722.77 = 268,988.07/x
  3. Step 3: Cross multiply
    411,314.60x = 616,722.77 × 268,988.07
  4. Step 4: Simplify right side
    411,314.60x = 165,891,066,282.41
  5. Step 5: Solve for x
    x = 165,891,066,282.41/411,314.60
  6. Step 6: Final answer
    x = 403,319.18

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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.