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Finding the Fourth Proportional to 486,257.40, 728,887.26 and 186,657.30

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Solution

The fourth proportional to 486,257.40, 728,887.26 and 186,657.30 is: 279,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,257.40 : 728,887.26 = 186,657.30 : x
  2. Step 2: Convert to fraction form
    486,257.40/728,887.26 = 186,657.30/x
  3. Step 3: Cross multiply
    486,257.40x = 728,887.26 × 186,657.30
  4. Step 4: Simplify right side
    486,257.40x = 136,052,127,956.00
  5. Step 5: Solve for x
    x = 136,052,127,956.00/486,257.40
  6. Step 6: Final answer
    x = 279,794.46

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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.