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Finding the Fourth Proportional to 415,270.40, 622,905.60 and 407,397.20

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Solution

The fourth proportional to 415,270.40, 622,905.60 and 407,397.20 is: 611,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,270.40 : 622,905.60 = 407,397.20 : x
  2. Step 2: Convert to fraction form
    415,270.40/622,905.60 = 407,397.20/x
  3. Step 3: Cross multiply
    415,270.40x = 622,905.60 × 407,397.20
  4. Step 4: Simplify right side
    415,270.40x = 253,769,997,304.32
  5. Step 5: Solve for x
    x = 253,769,997,304.32/415,270.40
  6. Step 6: Final answer
    x = 611,095.80

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1.5x scale

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.