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Finding the Fourth Proportional to 405,115.30, 607,672.95 and 254,868.40

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Solution

The fourth proportional to 405,115.30, 607,672.95 and 254,868.40 is: 382,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,115.30 : 607,672.95 = 254,868.40 : x
  2. Step 2: Convert to fraction form
    405,115.30/607,672.95 = 254,868.40/x
  3. Step 3: Cross multiply
    405,115.30x = 607,672.95 × 254,868.40
  4. Step 4: Simplify right side
    405,115.30x = 154,876,632,489.78
  5. Step 5: Solve for x
    x = 154,876,632,489.78/405,115.30
  6. Step 6: Final answer
    x = 382,302.60

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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.