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Finding the Fourth Proportional to 551,685.84, 761,327.10 and 309,968.27

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Solution

The fourth proportional to 551,685.84, 761,327.10 and 309,968.27 is: 427,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,685.84 : 761,327.10 = 309,968.27 : x
  2. Step 2: Convert to fraction form
    551,685.84/761,327.10 = 309,968.27/x
  3. Step 3: Cross multiply
    551,685.84x = 761,327.10 × 309,968.27
  4. Step 4: Simplify right side
    551,685.84x = 235,987,243,139.46
  5. Step 5: Solve for x
    x = 235,987,243,139.46/551,685.84
  6. Step 6: Final answer
    x = 427,756.57

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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.