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Finding the Fourth Proportional to 224,205.68, 309,228.76 and 143,640.64

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Solution

The fourth proportional to 224,205.68, 309,228.76 and 143,640.64 is: 198,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,205.68 : 309,228.76 = 143,640.64 : x
  2. Step 2: Convert to fraction form
    224,205.68/309,228.76 = 143,640.64/x
  3. Step 3: Cross multiply
    224,205.68x = 309,228.76 × 143,640.64
  4. Step 4: Simplify right side
    224,205.68x = 44,417,816,992.81
  5. Step 5: Solve for x
    x = 44,417,816,992.81/224,205.68
  6. Step 6: Final answer
    x = 198,111.92

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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.