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Finding the Fourth Proportional to 309,806.68, 464,459.84 and 120,169.16

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Solution

The fourth proportional to 309,806.68, 464,459.84 and 120,169.16 is: 180,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,806.68 : 464,459.84 = 120,169.16 : x
  2. Step 2: Convert to fraction form
    309,806.68/464,459.84 = 120,169.16/x
  3. Step 3: Cross multiply
    309,806.68x = 464,459.84 × 120,169.16
  4. Step 4: Simplify right side
    309,806.68x = 55,813,748,826.53
  5. Step 5: Solve for x
    x = 55,813,748,826.53/309,806.68
  6. Step 6: Final answer
    x = 180,156.70

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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.