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Finding the Fourth Proportional to 647,978.35, 894,192.87 and 361,491.07

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Solution

The fourth proportional to 647,978.35, 894,192.87 and 361,491.07 is: 498,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,978.35 : 894,192.87 = 361,491.07 : x
  2. Step 2: Convert to fraction form
    647,978.35/894,192.87 = 361,491.07/x
  3. Step 3: Cross multiply
    647,978.35x = 894,192.87 × 361,491.07
  4. Step 4: Simplify right side
    647,978.35x = 323,242,737,362.67
  5. Step 5: Solve for x
    x = 323,242,737,362.67/647,978.35
  6. Step 6: Final answer
    x = 498,848.05

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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.