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Finding the Fourth Proportional to 551,531.63, 761,184.74 and 309,814.13

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Solution

The fourth proportional to 551,531.63, 761,184.74 and 309,814.13 is: 427,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,531.63 : 761,184.74 = 309,814.13 : x
  2. Step 2: Convert to fraction form
    551,531.63/761,184.74 = 309,814.13/x
  3. Step 3: Cross multiply
    551,531.63x = 761,184.74 × 309,814.13
  4. Step 4: Simplify right side
    551,531.63x = 235,825,790,669.87
  5. Step 5: Solve for x
    x = 235,825,790,669.87/551,531.63
  6. Step 6: Final answer
    x = 427,583.44

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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.