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Finding the Fourth Proportional to 415,783.84, 623,399.28 and 228,883.36

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Solution

The fourth proportional to 415,783.84, 623,399.28 and 228,883.36 is: 343,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,783.84 : 623,399.28 = 228,883.36 : x
  2. Step 2: Convert to fraction form
    415,783.84/623,399.28 = 228,883.36/x
  3. Step 3: Cross multiply
    415,783.84x = 623,399.28 × 228,883.36
  4. Step 4: Simplify right side
    415,783.84x = 142,685,721,827.98
  5. Step 5: Solve for x
    x = 142,685,721,827.98/415,783.84
  6. Step 6: Final answer
    x = 343,172.84

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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.