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Finding the Fourth Proportional to 421,678.60, 632,327.73 and 208,363.35

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Solution

The fourth proportional to 421,678.60, 632,327.73 and 208,363.35 is: 312,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,678.60 : 632,327.73 = 208,363.35 : x
  2. Step 2: Convert to fraction form
    421,678.60/632,327.73 = 208,363.35/x
  3. Step 3: Cross multiply
    421,678.60x = 632,327.73 × 208,363.35
  4. Step 4: Simplify right side
    421,678.60x = 131,753,920,959.06
  5. Step 5: Solve for x
    x = 131,753,920,959.06/421,678.60
  6. Step 6: Final answer
    x = 312,451.05

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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.