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Finding the Fourth Proportional to 535,840.90, 803,469.35 and 161,815.30

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Solution

The fourth proportional to 535,840.90, 803,469.35 and 161,815.30 is: 242,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,840.90 : 803,469.35 = 161,815.30 : x
  2. Step 2: Convert to fraction form
    535,840.90/803,469.35 = 161,815.30/x
  3. Step 3: Cross multiply
    535,840.90x = 803,469.35 × 161,815.30
  4. Step 4: Simplify right side
    535,840.90x = 130,013,633,911.06
  5. Step 5: Solve for x
    x = 130,013,633,911.06/535,840.90
  6. Step 6: Final answer
    x = 242,634.77

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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.