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Finding the Fourth Proportional to 469,671.36, 704,638.08 and 189,384

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Solution

The fourth proportional to 469,671.36, 704,638.08 and 189,384 is: 284,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,671.36 : 704,638.08 = 189,384 : x
  2. Step 2: Convert to fraction form
    469,671.36/704,638.08 = 189,384/x
  3. Step 3: Cross multiply
    469,671.36x = 704,638.08 × 189,384
  4. Step 4: Simplify right side
    469,671.36x = 133,447,178,142.72
  5. Step 5: Solve for x
    x = 133,447,178,142.72/469,671.36
  6. Step 6: Final answer
    x = 284,128.84

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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.