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Finding the Fourth Proportional to 409,613.88, 565,374.06 and 266,765.88

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Solution

The fourth proportional to 409,613.88, 565,374.06 and 266,765.88 is: 368,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,613.88 : 565,374.06 = 266,765.88 : x
  2. Step 2: Convert to fraction form
    409,613.88/565,374.06 = 266,765.88/x
  3. Step 3: Cross multiply
    409,613.88x = 565,374.06 × 266,765.88
  4. Step 4: Simplify right side
    409,613.88x = 150,822,508,645.07
  5. Step 5: Solve for x
    x = 150,822,508,645.07/409,613.88
  6. Step 6: Final answer
    x = 368,206.54

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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.