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Finding the Fourth Proportional to 224,243.64, 309,455.10 and 123,641.64

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Solution

The fourth proportional to 224,243.64, 309,455.10 and 123,641.64 is: 170,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,243.64 : 309,455.10 = 123,641.64 : x
  2. Step 2: Convert to fraction form
    224,243.64/309,455.10 = 123,641.64/x
  3. Step 3: Cross multiply
    224,243.64x = 309,455.10 × 123,641.64
  4. Step 4: Simplify right side
    224,243.64x = 38,261,536,070.36
  5. Step 5: Solve for x
    x = 38,261,536,070.36/224,243.64
  6. Step 6: Final answer
    x = 170,624.84

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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.