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Finding the Fourth Proportional to 551,644.95, 761,228.53 and 309,880.30

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Solution

The fourth proportional to 551,644.95, 761,228.53 and 309,880.30 is: 427,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,644.95 : 761,228.53 = 309,880.30 : x
  2. Step 2: Convert to fraction form
    551,644.95/761,228.53 = 309,880.30/x
  3. Step 3: Cross multiply
    551,644.95x = 761,228.53 × 309,880.30
  4. Step 4: Simplify right side
    551,644.95x = 235,889,723,695.56
  5. Step 5: Solve for x
    x = 235,889,723,695.56/551,644.95
  6. Step 6: Final answer
    x = 427,611.50

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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.