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Finding the Fourth Proportional to 425,625.10, 638,437.65 and 172,905.10

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Solution

The fourth proportional to 425,625.10, 638,437.65 and 172,905.10 is: 259,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,625.10 : 638,437.65 = 172,905.10 : x
  2. Step 2: Convert to fraction form
    425,625.10/638,437.65 = 172,905.10/x
  3. Step 3: Cross multiply
    425,625.10x = 638,437.65 × 172,905.10
  4. Step 4: Simplify right side
    425,625.10x = 110,389,125,717.02
  5. Step 5: Solve for x
    x = 110,389,125,717.02/425,625.10
  6. Step 6: Final answer
    x = 259,357.65

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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.