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Finding the Fourth Proportional to 421,641.80, 632,808.30 and 407,817.80

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Solution

The fourth proportional to 421,641.80, 632,808.30 and 407,817.80 is: 612,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,641.80 : 632,808.30 = 407,817.80 : x
  2. Step 2: Convert to fraction form
    421,641.80/632,808.30 = 407,817.80/x
  3. Step 3: Cross multiply
    421,641.80x = 632,808.30 × 407,817.80
  4. Step 4: Simplify right side
    421,641.80x = 258,070,488,727.74
  5. Step 5: Solve for x
    x = 258,070,488,727.74/421,641.80
  6. Step 6: Final answer
    x = 612,060.97

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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.