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Finding the Fourth Proportional to 224,224.64, 309,445.44 and 128,758.40

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Solution

The fourth proportional to 224,224.64, 309,445.44 and 128,758.40 is: 177,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,224.64 : 309,445.44 = 128,758.40 : x
  2. Step 2: Convert to fraction form
    224,224.64/309,445.44 = 128,758.40/x
  3. Step 3: Cross multiply
    224,224.64x = 309,445.44 × 128,758.40
  4. Step 4: Simplify right side
    224,224.64x = 39,843,699,741.70
  5. Step 5: Solve for x
    x = 39,843,699,741.70/224,224.64
  6. Step 6: Final answer
    x = 177,695.46

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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.