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Finding the Fourth Proportional to 415,784.84, 623,400.78 and 228,884.36

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Solution

The fourth proportional to 415,784.84, 623,400.78 and 228,884.36 is: 343,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,784.84 : 623,400.78 = 228,884.36 : x
  2. Step 2: Convert to fraction form
    415,784.84/623,400.78 = 228,884.36/x
  3. Step 3: Cross multiply
    415,784.84x = 623,400.78 × 228,884.36
  4. Step 4: Simplify right side
    415,784.84x = 142,686,688,553.80
  5. Step 5: Solve for x
    x = 142,686,688,553.80/415,784.84
  6. Step 6: Final answer
    x = 343,174.34

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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.