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Finding the Fourth Proportional to 551,690.37, 761,333.40 and 309,972.78

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Solution

The fourth proportional to 551,690.37, 761,333.40 and 309,972.78 is: 427,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,690.37 : 761,333.40 = 309,972.78 : x
  2. Step 2: Convert to fraction form
    551,690.37/761,333.40 = 309,972.78/x
  3. Step 3: Cross multiply
    551,690.37x = 761,333.40 × 309,972.78
  4. Step 4: Simplify right side
    551,690.37x = 235,992,630,504.85
  5. Step 5: Solve for x
    x = 235,992,630,504.85/551,690.37
  6. Step 6: Final answer
    x = 427,762.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.