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Finding the Fourth Proportional to 407,794.88, 611,692.32 and 127,336.16

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Solution

The fourth proportional to 407,794.88, 611,692.32 and 127,336.16 is: 191,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,794.88 : 611,692.32 = 127,336.16 : x
  2. Step 2: Convert to fraction form
    407,794.88/611,692.32 = 127,336.16/x
  3. Step 3: Cross multiply
    407,794.88x = 611,692.32 × 127,336.16
  4. Step 4: Simplify right side
    407,794.88x = 77,890,551,130.29
  5. Step 5: Solve for x
    x = 77,890,551,130.29/407,794.88
  6. Step 6: Final answer
    x = 191,004.24

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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.