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Finding the Fourth Proportional to 461,343.48, 636,698.52 and 280,013.64

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Solution

The fourth proportional to 461,343.48, 636,698.52 and 280,013.64 is: 386,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,343.48 : 636,698.52 = 280,013.64 : x
  2. Step 2: Convert to fraction form
    461,343.48/636,698.52 = 280,013.64/x
  3. Step 3: Cross multiply
    461,343.48x = 636,698.52 × 280,013.64
  4. Step 4: Simplify right side
    461,343.48x = 178,284,270,167.81
  5. Step 5: Solve for x
    x = 178,284,270,167.81/461,343.48
  6. Step 6: Final answer
    x = 386,445.84

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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.