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Finding the Fourth Proportional to 415,770.80, 623,947.80 and 266,374.40

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Solution

The fourth proportional to 415,770.80, 623,947.80 and 266,374.40 is: 399,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,770.80 : 623,947.80 = 266,374.40 : x
  2. Step 2: Convert to fraction form
    415,770.80/623,947.80 = 266,374.40/x
  3. Step 3: Cross multiply
    415,770.80x = 623,947.80 × 266,374.40
  4. Step 4: Simplify right side
    415,770.80x = 166,203,720,856.32
  5. Step 5: Solve for x
    x = 166,203,720,856.32/415,770.80
  6. Step 6: Final answer
    x = 399,748.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.