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Finding the Fourth Proportional to 469,865.17, 648,408.54 and 255,005.38

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Solution

The fourth proportional to 469,865.17, 648,408.54 and 255,005.38 is: 351,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,865.17 : 648,408.54 = 255,005.38 : x
  2. Step 2: Convert to fraction form
    469,865.17/648,408.54 = 255,005.38/x
  3. Step 3: Cross multiply
    469,865.17x = 648,408.54 × 255,005.38
  4. Step 4: Simplify right side
    469,865.17x = 165,347,666,137.95
  5. Step 5: Solve for x
    x = 165,347,666,137.95/469,865.17
  6. Step 6: Final answer
    x = 351,904.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.