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Finding the Fourth Proportional to 345,476.10, 476,750.70 and 194,573.10

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Solution

The fourth proportional to 345,476.10, 476,750.70 and 194,573.10 is: 268,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,476.10 : 476,750.70 = 194,573.10 : x
  2. Step 2: Convert to fraction form
    345,476.10/476,750.70 = 194,573.10/x
  3. Step 3: Cross multiply
    345,476.10x = 476,750.70 × 194,573.10
  4. Step 4: Simplify right side
    345,476.10x = 92,762,861,626.17
  5. Step 5: Solve for x
    x = 92,762,861,626.17/345,476.10
  6. Step 6: Final answer
    x = 268,507.32

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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.