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Finding the Fourth Proportional to 309,393.81, 464,091.08 and 84,756.17

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Solution

The fourth proportional to 309,393.81, 464,091.08 and 84,756.17 is: 127,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,393.81 : 464,091.08 = 84,756.17 : x
  2. Step 2: Convert to fraction form
    309,393.81/464,091.08 = 84,756.17/x
  3. Step 3: Cross multiply
    309,393.81x = 464,091.08 × 84,756.17
  4. Step 4: Simplify right side
    309,393.81x = 39,334,582,471.96
  5. Step 5: Solve for x
    x = 39,334,582,471.96/309,393.81
  6. Step 6: Final answer
    x = 127,134.35

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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.