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Finding the Fourth Proportional to 424,397.63, 636,587.21 and 199,633.49

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Solution

The fourth proportional to 424,397.63, 636,587.21 and 199,633.49 is: 299,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,397.63 : 636,587.21 = 199,633.49 : x
  2. Step 2: Convert to fraction form
    424,397.63/636,587.21 = 199,633.49/x
  3. Step 3: Cross multiply
    424,397.63x = 636,587.21 × 199,633.49
  4. Step 4: Simplify right side
    424,397.63x = 127,084,123,737.81
  5. Step 5: Solve for x
    x = 127,084,123,737.81/424,397.63
  6. Step 6: Final answer
    x = 299,445.89

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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.