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Finding the Fourth Proportional to 224,387.40, 309,623.97 and 128,894.09

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Solution

The fourth proportional to 224,387.40, 309,623.97 and 128,894.09 is: 177,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,387.40 : 309,623.97 = 128,894.09 : x
  2. Step 2: Convert to fraction form
    224,387.40/309,623.97 = 128,894.09/x
  3. Step 3: Cross multiply
    224,387.40x = 309,623.97 × 128,894.09
  4. Step 4: Simplify right side
    224,387.40x = 39,908,698,307.22
  5. Step 5: Solve for x
    x = 39,908,698,307.22/224,387.40
  6. Step 6: Final answer
    x = 177,856.24

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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.