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Finding the Fourth Proportional to 461,368.38, 635,963.30 and 315,922.74

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Solution

The fourth proportional to 461,368.38, 635,963.30 and 315,922.74 is: 435,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,368.38 : 635,963.30 = 315,922.74 : x
  2. Step 2: Convert to fraction form
    461,368.38/635,963.30 = 315,922.74/x
  3. Step 3: Cross multiply
    461,368.38x = 635,963.30 × 315,922.74
  4. Step 4: Simplify right side
    461,368.38x = 200,915,268,275.44
  5. Step 5: Solve for x
    x = 200,915,268,275.44/461,368.38
  6. Step 6: Final answer
    x = 435,476.89

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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.