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Finding the Fourth Proportional to 677,137.92, 934,447.68 and 371,216

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Solution

The fourth proportional to 677,137.92, 934,447.68 and 371,216 is: 512,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,137.92 : 934,447.68 = 371,216 : x
  2. Step 2: Convert to fraction form
    677,137.92/934,447.68 = 371,216/x
  3. Step 3: Cross multiply
    677,137.92x = 934,447.68 × 371,216
  4. Step 4: Simplify right side
    677,137.92x = 346,881,929,978.88
  5. Step 5: Solve for x
    x = 346,881,929,978.88/677,137.92
  6. Step 6: Final answer
    x = 512,276.63

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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.