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Finding the Fourth Proportional to 665,054.80, 917,446.77 and 392,991.06

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Solution

The fourth proportional to 665,054.80, 917,446.77 and 392,991.06 is: 542,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,054.80 : 917,446.77 = 392,991.06 : x
  2. Step 2: Convert to fraction form
    665,054.80/917,446.77 = 392,991.06/x
  3. Step 3: Cross multiply
    665,054.80x = 917,446.77 × 392,991.06
  4. Step 4: Simplify right side
    665,054.80x = 360,548,378,635.88
  5. Step 5: Solve for x
    x = 360,548,378,635.88/665,054.80
  6. Step 6: Final answer
    x = 542,133.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.