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Finding the Fourth Proportional to 405,128.80, 607,693.20 and 254,881.90

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Solution

The fourth proportional to 405,128.80, 607,693.20 and 254,881.90 is: 382,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,128.80 : 607,693.20 = 254,881.90 : x
  2. Step 2: Convert to fraction form
    405,128.80/607,693.20 = 254,881.90/x
  3. Step 3: Cross multiply
    405,128.80x = 607,693.20 × 254,881.90
  4. Step 4: Simplify right side
    405,128.80x = 154,889,997,433.08
  5. Step 5: Solve for x
    x = 154,889,997,433.08/405,128.80
  6. Step 6: Final answer
    x = 382,322.85

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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.