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Finding the Fourth Proportional to 461,391.39, 636,359.59 and 409,760.42

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Solution

The fourth proportional to 461,391.39, 636,359.59 and 409,760.42 is: 565,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,391.39 : 636,359.59 = 409,760.42 : x
  2. Step 2: Convert to fraction form
    461,391.39/636,359.59 = 409,760.42/x
  3. Step 3: Cross multiply
    461,391.39x = 636,359.59 × 409,760.42
  4. Step 4: Simplify right side
    461,391.39x = 260,754,973,779.35
  5. Step 5: Solve for x
    x = 260,754,973,779.35/461,391.39
  6. Step 6: Final answer
    x = 565,149.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.