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Finding the Fourth Proportional to 405,116.30, 607,674.45 and 254,869.40

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Solution

The fourth proportional to 405,116.30, 607,674.45 and 254,869.40 is: 382,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,116.30 : 607,674.45 = 254,869.40 : x
  2. Step 2: Convert to fraction form
    405,116.30/607,674.45 = 254,869.40/x
  3. Step 3: Cross multiply
    405,116.30x = 607,674.45 × 254,869.40
  4. Step 4: Simplify right side
    405,116.30x = 154,877,622,466.83
  5. Step 5: Solve for x
    x = 154,877,622,466.83/405,116.30
  6. Step 6: Final answer
    x = 382,304.10

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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.