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Finding the Fourth Proportional to 485,855.80, 728,783.70 and 153,431.80

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Solution

The fourth proportional to 485,855.80, 728,783.70 and 153,431.80 is: 230,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,855.80 : 728,783.70 = 153,431.80 : x
  2. Step 2: Convert to fraction form
    485,855.80/728,783.70 = 153,431.80/x
  3. Step 3: Cross multiply
    485,855.80x = 728,783.70 × 153,431.80
  4. Step 4: Simplify right side
    485,855.80x = 111,818,594,901.66
  5. Step 5: Solve for x
    x = 111,818,594,901.66/485,855.80
  6. Step 6: Final answer
    x = 230,147.70

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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.