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Finding the Fourth Proportional to 309,776.32, 464,669.60 and 85,135.37

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Solution

The fourth proportional to 309,776.32, 464,669.60 and 85,135.37 is: 127,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,776.32 : 464,669.60 = 85,135.37 : x
  2. Step 2: Convert to fraction form
    309,776.32/464,669.60 = 85,135.37/x
  3. Step 3: Cross multiply
    309,776.32x = 464,669.60 × 85,135.37
  4. Step 4: Simplify right side
    309,776.32x = 39,559,815,574.73
  5. Step 5: Solve for x
    x = 39,559,815,574.73/309,776.32
  6. Step 6: Final answer
    x = 127,704.45

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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.