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Finding the Fourth Proportional to 405,116.80, 607,675.20 and 254,869.90

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Solution

The fourth proportional to 405,116.80, 607,675.20 and 254,869.90 is: 382,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,116.80 : 607,675.20 = 254,869.90 : x
  2. Step 2: Convert to fraction form
    405,116.80/607,675.20 = 254,869.90/x
  3. Step 3: Cross multiply
    405,116.80x = 607,675.20 × 254,869.90
  4. Step 4: Simplify right side
    405,116.80x = 154,878,117,456.48
  5. Step 5: Solve for x
    x = 154,878,117,456.48/405,116.80
  6. Step 6: Final answer
    x = 382,304.85

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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.