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Finding the Fourth Proportional to 475,135.12, 712,804.56 and 138,181.60

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Solution

The fourth proportional to 475,135.12, 712,804.56 and 138,181.60 is: 207,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,135.12 : 712,804.56 = 138,181.60 : x
  2. Step 2: Convert to fraction form
    475,135.12/712,804.56 = 138,181.60/x
  3. Step 3: Cross multiply
    475,135.12x = 712,804.56 × 138,181.60
  4. Step 4: Simplify right side
    475,135.12x = 98,496,474,588.10
  5. Step 5: Solve for x
    x = 98,496,474,588.10/475,135.12
  6. Step 6: Final answer
    x = 207,302.03

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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.