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Finding the Fourth Proportional to 405,072.86, 607,233.69 and 138,770.10

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Solution

The fourth proportional to 405,072.86, 607,233.69 and 138,770.10 is: 208,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,072.86 : 607,233.69 = 138,770.10 : x
  2. Step 2: Convert to fraction form
    405,072.86/607,233.69 = 138,770.10/x
  3. Step 3: Cross multiply
    405,072.86x = 607,233.69 × 138,770.10
  4. Step 4: Simplify right side
    405,072.86x = 84,265,879,884.67
  5. Step 5: Solve for x
    x = 84,265,879,884.67/405,072.86
  6. Step 6: Final answer
    x = 208,026.48

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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.