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Finding the Fourth Proportional to 472,638.12, 708,672.06 and 188,372.40

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Solution

The fourth proportional to 472,638.12, 708,672.06 and 188,372.40 is: 282,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,638.12 : 708,672.06 = 188,372.40 : x
  2. Step 2: Convert to fraction form
    472,638.12/708,672.06 = 188,372.40/x
  3. Step 3: Cross multiply
    472,638.12x = 708,672.06 × 188,372.40
  4. Step 4: Simplify right side
    472,638.12x = 133,494,256,755.14
  5. Step 5: Solve for x
    x = 133,494,256,755.14/472,638.12
  6. Step 6: Final answer
    x = 282,444.96

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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.