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Finding the Fourth Proportional to 309,334.95, 464,002.07 and 84,697.11

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Solution

The fourth proportional to 309,334.95, 464,002.07 and 84,697.11 is: 127,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,334.95 : 464,002.07 = 84,697.11 : x
  2. Step 2: Convert to fraction form
    309,334.95/464,002.07 = 84,697.11/x
  3. Step 3: Cross multiply
    309,334.95x = 464,002.07 × 84,697.11
  4. Step 4: Simplify right side
    309,334.95x = 39,299,633,939.53
  5. Step 5: Solve for x
    x = 39,299,633,939.53/309,334.95
  6. Step 6: Final answer
    x = 127,045.57

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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.