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Finding the Fourth Proportional to 536,442.70, 803,351.85 and 255,631.90

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Solution

The fourth proportional to 536,442.70, 803,351.85 and 255,631.90 is: 382,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,442.70 : 803,351.85 = 255,631.90 : x
  2. Step 2: Convert to fraction form
    536,442.70/803,351.85 = 255,631.90/x
  3. Step 3: Cross multiply
    536,442.70x = 803,351.85 × 255,631.90
  4. Step 4: Simplify right side
    536,442.70x = 205,362,359,784.02
  5. Step 5: Solve for x
    x = 205,362,359,784.02/536,442.70
  6. Step 6: Final answer
    x = 382,822.55

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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.