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Finding the Fourth Proportional to 415,260.40, 622,890.60 and 407,387.20

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Solution

The fourth proportional to 415,260.40, 622,890.60 and 407,387.20 is: 611,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260.40 : 622,890.60 = 407,387.20 : x
  2. Step 2: Convert to fraction form
    415,260.40/622,890.60 = 407,387.20/x
  3. Step 3: Cross multiply
    415,260.40x = 622,890.60 × 407,387.20
  4. Step 4: Simplify right side
    415,260.40x = 253,757,657,440.32
  5. Step 5: Solve for x
    x = 253,757,657,440.32/415,260.40
  6. Step 6: Final answer
    x = 611,080.80

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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.