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Finding the Fourth Proportional to 345,432.47, 476,697.78 and 200,266.47

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Solution

The fourth proportional to 345,432.47, 476,697.78 and 200,266.47 is: 276,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,432.47 : 476,697.78 = 200,266.47 : x
  2. Step 2: Convert to fraction form
    345,432.47/476,697.78 = 200,266.47/x
  3. Step 3: Cross multiply
    345,432.47x = 476,697.78 × 200,266.47
  4. Step 4: Simplify right side
    345,432.47x = 95,466,581,657.44
  5. Step 5: Solve for x
    x = 95,466,581,657.44/345,432.47
  6. Step 6: Final answer
    x = 276,368.30

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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.