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Finding the Fourth Proportional to 551,683.85, 761,241.31 and 309,920.45

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Solution

The fourth proportional to 551,683.85, 761,241.31 and 309,920.45 is: 427,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,683.85 : 761,241.31 = 309,920.45 : x
  2. Step 2: Convert to fraction form
    551,683.85/761,241.31 = 309,920.45/x
  3. Step 3: Cross multiply
    551,683.85x = 761,241.31 × 309,920.45
  4. Step 4: Simplify right side
    551,683.85x = 235,924,244,772.78
  5. Step 5: Solve for x
    x = 235,924,244,772.78/551,683.85
  6. Step 6: Final answer
    x = 427,643.92

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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.