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Finding the Fourth Proportional to 486,261.40, 728,893.24 and 186,661.30

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Solution

The fourth proportional to 486,261.40, 728,893.24 and 186,661.30 is: 279,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,261.40 : 728,893.24 = 186,661.30 : x
  2. Step 2: Convert to fraction form
    486,261.40/728,893.24 = 186,661.30/x
  3. Step 3: Cross multiply
    486,261.40x = 728,893.24 × 186,661.30
  4. Step 4: Simplify right side
    486,261.40x = 136,056,159,739.61
  5. Step 5: Solve for x
    x = 136,056,159,739.61/486,261.40
  6. Step 6: Final answer
    x = 279,800.45

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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.