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Finding the Fourth Proportional to 432,083.80, 648,125.70 and 254,499.40

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Solution

The fourth proportional to 432,083.80, 648,125.70 and 254,499.40 is: 381,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,083.80 : 648,125.70 = 254,499.40 : x
  2. Step 2: Convert to fraction form
    432,083.80/648,125.70 = 254,499.40/x
  3. Step 3: Cross multiply
    432,083.80x = 648,125.70 × 254,499.40
  4. Step 4: Simplify right side
    432,083.80x = 164,947,601,774.58
  5. Step 5: Solve for x
    x = 164,947,601,774.58/432,083.80
  6. Step 6: Final answer
    x = 381,749.10

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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.