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Finding the Fourth Proportional to 615,893.80, 923,840.70 and 412,940.20

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Solution

The fourth proportional to 615,893.80, 923,840.70 and 412,940.20 is: 619,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,893.80 : 923,840.70 = 412,940.20 : x
  2. Step 2: Convert to fraction form
    615,893.80/923,840.70 = 412,940.20/x
  3. Step 3: Cross multiply
    615,893.80x = 923,840.70 × 412,940.20
  4. Step 4: Simplify right side
    615,893.80x = 381,490,963,426.14
  5. Step 5: Solve for x
    x = 381,490,963,426.14/615,893.80
  6. Step 6: Final answer
    x = 619,410.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.