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Finding the Fourth Proportional to 486,263.20, 729,321.84 and 153,796

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Solution

The fourth proportional to 486,263.20, 729,321.84 and 153,796 is: 230,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,263.20 : 729,321.84 = 153,796 : x
  2. Step 2: Convert to fraction form
    486,263.20/729,321.84 = 153,796/x
  3. Step 3: Cross multiply
    486,263.20x = 729,321.84 × 153,796
  4. Step 4: Simplify right side
    486,263.20x = 112,166,781,704.64
  5. Step 5: Solve for x
    x = 112,166,781,704.64/486,263.20
  6. Step 6: Final answer
    x = 230,670.92

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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.