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Finding the Fourth Proportional to 224,311.68, 309,530.16 and 128,809.44

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Solution

The fourth proportional to 224,311.68, 309,530.16 and 128,809.44 is: 177,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,311.68 : 309,530.16 = 128,809.44 : x
  2. Step 2: Convert to fraction form
    224,311.68/309,530.16 = 128,809.44/x
  3. Step 3: Cross multiply
    224,311.68x = 309,530.16 × 128,809.44
  4. Step 4: Simplify right side
    224,311.68x = 39,870,406,572.71
  5. Step 5: Solve for x
    x = 39,870,406,572.71/224,311.68
  6. Step 6: Final answer
    x = 177,745.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.