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Finding the Fourth Proportional to 551,137.86, 760,511.43 and 309,447

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Solution

The fourth proportional to 551,137.86, 760,511.43 and 309,447 is: 427,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,137.86 : 760,511.43 = 309,447 : x
  2. Step 2: Convert to fraction form
    551,137.86/760,511.43 = 309,447/x
  3. Step 3: Cross multiply
    551,137.86x = 760,511.43 × 309,447
  4. Step 4: Simplify right side
    551,137.86x = 235,337,980,479.21
  5. Step 5: Solve for x
    x = 235,337,980,479.21/551,137.86
  6. Step 6: Final answer
    x = 427,003.84

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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.