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Finding the Fourth Proportional to 424,394.82, 636,582.98 and 199,630.67

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Solution

The fourth proportional to 424,394.82, 636,582.98 and 199,630.67 is: 299,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,394.82 : 636,582.98 = 199,630.67 : x
  2. Step 2: Convert to fraction form
    424,394.82/636,582.98 = 199,630.67/x
  3. Step 3: Cross multiply
    424,394.82x = 636,582.98 × 199,630.67
  4. Step 4: Simplify right side
    424,394.82x = 127,081,484,124.16
  5. Step 5: Solve for x
    x = 127,081,484,124.16/424,394.82
  6. Step 6: Final answer
    x = 299,441.65

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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.