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Finding the Fourth Proportional to 224,408.31, 309,710.88 and 128,914.80

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Solution

The fourth proportional to 224,408.31, 309,710.88 and 128,914.80 is: 177,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,408.31 : 309,710.88 = 128,914.80 : x
  2. Step 2: Convert to fraction form
    224,408.31/309,710.88 = 128,914.80/x
  3. Step 3: Cross multiply
    224,408.31x = 309,710.88 × 128,914.80
  4. Step 4: Simplify right side
    224,408.31x = 39,926,316,153.02
  5. Step 5: Solve for x
    x = 39,926,316,153.02/224,408.31
  6. Step 6: Final answer
    x = 177,918.17

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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.