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Finding the Fourth Proportional to 219,451.20, 302,884.64 and 128,827.20

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Solution

The fourth proportional to 219,451.20, 302,884.64 and 128,827.20 is: 177,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,451.20 : 302,884.64 = 128,827.20 : x
  2. Step 2: Convert to fraction form
    219,451.20/302,884.64 = 128,827.20/x
  3. Step 3: Cross multiply
    219,451.20x = 302,884.64 × 128,827.20
  4. Step 4: Simplify right side
    219,451.20x = 39,019,780,094.21
  5. Step 5: Solve for x
    x = 39,019,780,094.21/219,451.20
  6. Step 6: Final answer
    x = 177,806.18

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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.