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Finding the Fourth Proportional to 551,698.68, 761,322.98 and 309,991.44

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Solution

The fourth proportional to 551,698.68, 761,322.98 and 309,991.44 is: 427,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,698.68 : 761,322.98 = 309,991.44 : x
  2. Step 2: Convert to fraction form
    551,698.68/761,322.98 = 309,991.44/x
  3. Step 3: Cross multiply
    551,698.68x = 761,322.98 × 309,991.44
  4. Step 4: Simplify right side
    551,698.68x = 236,003,605,325.33
  5. Step 5: Solve for x
    x = 236,003,605,325.33/551,698.68
  6. Step 6: Final answer
    x = 427,776.27

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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.